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GCF of 10 and 20

What is the GCF of 10 and 20? - The GCF of 10 and 20 is 10. Follow the step by step instructions on how to find the great common factor of 10 and 20.

Greatest Common Factor of 10 and 20

Number 1:
Number 2:

What is the greatest common factor of 10 and 20?

Answer: 10

How to find the gcf of 10 and 20?

Method 1 - Listing Factors

To find the gcf of 10 and 20, we first need to find the factors of 10 and 20 and then choose the greatest common factor that are dividable by both 10 and 20.

Factors of 10 = 1, 2, 5, 10
Factors of 20 = 1, 2, 4, 5, 10, 20

The greatest common factor of 10 and 20 is 10, because 10 is the largest number that is divisible by both numbers.





Method 2 - Prime Factorization

Another method to find the greatest common factor of 10 and 20 is by using the prime factorization method.
To use prime factorization, we first need to find the prime factors of 10 and 20, and then get the GCF by multiplying all the common prime factors from the two sets.

Prime factorization of 10 = 2 x 5
Prime factorization of 20 = 2 x 2 x 5
Common prime factors = 2 x 5 = 10

GCF of 9 and 20
GCF of 11 and 20
GCF of 10 and 21
GCF of 10 and 19

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