What is the Greatest Common Factor of 63938 and 63956?

Greatest common factor (GCF) of 63938 and 63956 is 2.

GCF(63938,63956) = 2

We will now calculate the prime factors of 63938 and 63956, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63938 and 63956.

How to find the GCF of 63938 and 63956?

We will first find the prime factorization of 63938 and 63956. After we will calculate the factors of 63938 and 63956 and find the biggest common factor number .

Step-1: Prime Factorization of 63938

Prime factors of 63938 are 2, 7, 4567. Prime factorization of 63938 in exponential form is:

63938 = 2¹ × 7¹ × 4567¹

Step-2: 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-3: Factors of 63938

List of positive integer factors of 63938 that divides 63938 without a remainder.

1, 2, 7, 14, 4567, 9134, 31969

Step-4: Factors of 63956

List of positive integer factors of 63956 that divides 63938 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63938 and 63956. The biggest common factor number is the GCF number.
So the greatest common factor 63938 and 63956 is 2.

Also check out the Least Common Multiple of 63938 and 63956