What is the greatest common factor of 5 and 12

Prime Factorization of 5

Prime factors of 5 are 5. Prime factorization of 5 in exponential form is:

5 = 51

Prime Factorization of 12

Prime factors of 12 are 2.Prime factorization of 12 in exponential form is:

12 = 22×31

∴ So by taking common prime factors GCF of 5 and 12 is 1

Factors of 5

List of positive integer factors of 5 that divides 5 without a remainder.

1,5

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Greatest Common Factor

We found the factors and prime factorization of 5 and 12. The biggest common factor number is the GCF number.
So the greatest common factor 5 and 12 is 1.

Also check out the Least Common Multiple of 5 and 12

(i) The GCF of 5 and 12 is associative

GCF of 5 and 12 = GCF of 12 and 5

1. What is the GCF of 5 and 12?

Answer: GCF of 5 and 12 is 1.

2. What are the Factors of 5?

Answer: Factors of 5 are 1, 5. There are 2 integers that are factors of 5. The greatest factor of 5 is 5.

3. What are the Factors of 12?

Answer: Factors of 12 are 1, 2, 3, 4, 6, 12. There are 6 integers that are factors of 12. The greatest factor of 12 is 12.

4. How to Find the GCF of 5 and 12?

Answer:

Greatest Common Factor of 5 and 12 = 1

Step 1: Find the prime factorization of 5

5 = 5

Step 2: Find the prime factorization of 12

12 = 2 x 2 x 3

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = = 1

Step 4: Therefore, the greatest common factor of 5 and 12 is 1

Are you on the hunt for the GCF of 5 and 12? Since you're on this page I'd guess so! In this quick guide, we'll walk you through how to calculate the greatest common factor for any numbers you need to check. Let's jump in!

Want to quickly learn or show students how to find the GCF of two or more numbers? Play this very quick and fun video now!

First off, if you're in a rush, here's the answer to the question "what is the GCF of 5 and 12?":

GCF of 5 and 12 = 1

What is the Greatest Common Factor?

Put simply, the GCF of a set of whole numbers is the largest positive integer (i.e whole number and not a decimal) that divides evenly into all of the numbers in the set. It's also commonly known as:

• Greatest Common Denominator (GCD)
• Highest Common Factor (HCF)
• Greatest Common Divisor (GCD)

There are a number of different ways to calculate the GCF of a set of numbers depending how many numbers you have and how large they are.

For smaller numbers you can simply look at the factors or multiples for each number and find the greatest common multiple of them.

For 5 and 12 those factors look like this:

• Factors for 5: 1 and 5
• Factors for 12: 1, 2, 3, 4, 6, and 12

As you can see when you list out the factors of each number, 1 is the greatest number that 5 and 12 divides into.

Prime Factors

As the numbers get larger, or you want to compare multiple numbers at the same time to find the GCF, you can see how listing out all of the factors would become too much. To fix this, you can use prime factors.

List out all of the prime factors for each number:

• Prime Factors for 5: 5
• Prime Factors for 12: 2, 2, and 3

Now that we have the list of prime factors, we need to find any which are common for each number.

Since there are no common prime factors between the numbers above, this means the greatest common factor is 1:

GCF = 1

Find the GCF Using Euclid's Algorithm

The final method for calculating the GCF of 5 and 12 is to use Euclid's algorithm. This is a more complicated way of calculating the greatest common factor and is really only used by GCD calculators.

If you want to learn more about the algorithm and perhaps try it yourself, take a look at the Wikipedia page.

Hopefully you've learned a little math today and understand how to calculate the GCD of numbers. Grab a pencil and paper and give it a try for yourself. (or just use our GCD calculator - we won't tell anyone!)

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• <a href="http://visualfractions.com/calculator/greatest-common-factor/gcf-of-5-and-12/">Greatest Common Factor of 5 and 12</a>

• "Greatest Common Factor of 5 and 12". VisualFractions.com. Accessed on September 26, 2022. http://visualfractions.com/calculator/greatest-common-factor/gcf-of-5-and-12/.

• "Greatest Common Factor of 5 and 12". VisualFractions.com, http://visualfractions.com/calculator/greatest-common-factor/gcf-of-5-and-12/. Accessed 26 September, 2022.

• Greatest Common Factor of 5 and 12. VisualFractions.com. Retrieved from http://visualfractions.com/calculator/greatest-common-factor/gcf-of-5-and-12/.

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