Whats the greatest common factor of 20 and 32

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Determine the Greatest Common Factor (GCF) of (32,20)

Determine the factors for 32 up to 20 since that is the minimum of the 2 numbers

1,2,4,8,16

Determine the factors for 20 up to 20 since that is the minimum of the 2 numbers

1,2,4,5,10,20

The common factors between them are 1,2,4

The greatest common factor between them is 4

Since the Greatest Common Factor of both numbers ≠ 1, the numbers are

not

relatively prime (co-prime)
Since the Greatest Common Factor of Both Numbers is both ≠ 1 and have a difference of two, the numbers are not twin prime
To see the LCM of these numbers, click the LCM button above


What is the Answer?

How does the Greatest Common Factor and Least Common Multiple Calculator work?

Given 2 or 3 numbers, the calculator determines the following:
* Greatest Common Factor (GCF) using Factor Pairs
* Rewrite Sum using the Distributive Property and factoring out the GCF
* Least Common Multiple (LCM) / Least Common Denominator (LCD) using Factor Pairs
* GCF using the method of Successive Division
* GCF using the Prime Factorization method
* Determine if the numbers are coprime and twin prime

What 10 concepts are covered in the Greatest Common Factor and Least Common Multiple Calculator?

divisionseparate a number into partsdivisionseparate a number into partsfactora divisor of an integer n, also called a factor of n, is an integer m that may be multiplied by some integer to produce n.greatest common factorlargest positive integer dividing a set of integersleast common multipleGiven 2 numbers a and b, the least common multiple LCM is the smallest positive integer that is divisible by both. It is commonly denoted as LCM(a, b)minimum the least or lowest amount possible or attainedmultiplethe product of any quantity and an integernumberan arithmetical value, expressed by a word, symbol, or figure, representing a particular quantity and used in counting and making calculations and for showing order in a series or for identification. A quantity or amount.prime factorizationthe prime numbers that divide that integer exactlyremainderThe portion of a division operation leftover after dividing two integers

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Whats the greatest common factor of 20 and 32

Prime Factorization of 20

Prime factors of 20 are 2,5. Prime factorization of 20 in exponential form is:

20 = 22×51

Prime Factorization of 32


2 32
2 16
2 8
2 4
2 2
1

Prime factors of 32 are 2. Prime factorization of 32 in exponential form is:

32 = 25

∴ So by taking common prime factors GCF of 20 and 32 is 4

Whats the greatest common factor of 20 and 32

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 32

List of positive integer factors of 32 that divides 32 without a remainder.

1,2,4,8,16,32

Greatest Common Factor

We found the factors and prime factorization of 20 and 32. The biggest common factor number is the GCF number.
So the greatest common factor 20 and 32 is 4.

Also check out the Least Common Multiple of 20 and 32

(i) The GCF of 20 and 32 is associative

GCF of 20 and 32 = GCF of 32 and 20

1. What is the GCF of 20 and 32?

Answer: GCF of 20 and 32 is 4.

2. What are the Factors of 20?

Answer: Factors of 20 are 1, 2, 4, 5, 10, 20. There are 6 integers that are factors of 20. The greatest factor of 20 is 20.

3. What are the Factors of 32?

Answer: Factors of 32 are 1, 2, 4, 8, 16, 32. There are 6 integers that are factors of 32. The greatest factor of 32 is 32.

4. How to Find the GCF of 20 and 32?

Answer:

Greatest Common Factor of 20 and 32 = 4

Step 1: Find the prime factorization of 20

20 = 2 x 2 x 5

Step 2: Find the prime factorization of 32

32 = 2 x 2 x 2 x 2 x 2

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 20 and 32 is 4

What is the greatest GCF of 32?

You can evenly divide 32 by 1, 2, 4, 8, 16 and 32. Therefore the largest common factor of both numbers is 8. Multiplying Common Prime Factors: This is another method to find the greatest common factor.

What is the LCM of 20 and 32?

The LCM of 20 and 32 is 160.

How do you find the greatest common factor?

The greatest common factor is the greatest factor that divides both numbers. To find the greatest common factor, first list the prime factors of each number. 18 and 24 share one 2 and one 3 in common. We multiply them to get the GCF, so 2 * 3 = 6 is the GCF of 18 and 24.