What is the Greatest Common Factor of 63936 and 63942?

Greatest common factor (GCF) of 63936 and 63942 is 6.

GCF(63936,63942) = 6

We will now calculate the prime factors of 63936 and 63942, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63936 and 63942.

How to find the GCF of 63936 and 63942?

We will first find the prime factorization of 63936 and 63942. After we will calculate the factors of 63936 and 63942 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 63942

Prime factors of 63942 are 2, 3, 10657. Prime factorization of 63942 in exponential form is:

63942 = 2¹ × 3¹ × 10657¹

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 63942

List of positive integer factors of 63942 that divides 63936 without a remainder.

1, 2, 3, 6, 10657, 21314, 31971

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63936 and 63942. The biggest common factor number is the GCF number.
So the greatest common factor 63936 and 63942 is 6.

Also check out the Least Common Multiple of 63936 and 63942