What is the Greatest Common Factor of 63956 and 63964?

Greatest common factor (GCF) of 63956 and 63964 is 4.

GCF(63956,63964) = 4

We will now calculate the prime factors of 63956 and 63964, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63956 and 63964.

How to find the GCF of 63956 and 63964?

We will first find the prime factorization of 63956 and 63964. After we will calculate the factors of 63956 and 63964 and find the biggest common factor number .

Step-1: Prime Factorization of 63956

Prime factors of 63956 are 2, 59, 271. Prime factorization of 63956 in exponential form is:

63956 = 2² × 59¹ × 271¹

Step-2: Prime Factorization of 63964

Prime factors of 63964 are 2, 15991. Prime factorization of 63964 in exponential form is:

63964 = 2² × 15991¹

Step-3: Factors of 63956

List of positive integer factors of 63956 that divides 63956 without a remainder.

1, 2, 4, 59, 118, 236, 271, 542, 1084, 15989, 31978

Step-4: Factors of 63964

List of positive integer factors of 63964 that divides 63956 without a remainder.

1, 2, 4, 15991, 31982

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63956 and 63964. The biggest common factor number is the GCF number.
So the greatest common factor 63956 and 63964 is 4.

Also check out the Least Common Multiple of 63956 and 63964