What is the Greatest Common Factor of 63936 and 63948?

Greatest common factor (GCF) of 63936 and 63948 is 12.

GCF(63936,63948) = 12

We will now calculate the prime factors of 63936 and 63948, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63936 and 63948.

How to find the GCF of 63936 and 63948?

We will first find the prime factorization of 63936 and 63948. After we will calculate the factors of 63936 and 63948 and find the biggest common factor number .

Step-1: Prime Factorization of 63936

Prime factors of 63936 are 2, 3, 37. Prime factorization of 63936 in exponential form is:

63936 = 2⁶ × 3³ × 37¹

Step-2: Prime Factorization of 63948

Prime factors of 63948 are 2, 3, 73. Prime factorization of 63948 in exponential form is:

63948 = 2² × 3¹ × 73²

Step-3: Factors of 63936

List of positive integer factors of 63936 that divides 63936 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 37, 48, 54, 64, 72, 74, 96, 108, 111, 144, 148, 192, 216, 222, 288, 296, 333, 432, 444, 576, 592, 666, 864, 888, 999, 1184, 1332, 1728, 1776, 1998, 2368, 2664, 3552, 3996, 5328, 7104, 7992, 10656, 15984, 21312, 31968

Step-4: Factors of 63948

List of positive integer factors of 63948 that divides 63936 without a remainder.

1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876, 5329, 10658, 15987, 21316, 31974

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63936 and 63948. The biggest common factor number is the GCF number.
So the greatest common factor 63936 and 63948 is 12.

Also check out the Least Common Multiple of 63936 and 63948