What is the Greatest Common Factor of 63936 and 63946?

Greatest common factor (GCF) of 63936 and 63946 is 2.

GCF(63936,63946) = 2

We will now calculate the prime factors of 63936 and 63946, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63936 and 63946.

How to find the GCF of 63936 and 63946?

We will first find the prime factorization of 63936 and 63946. After we will calculate the factors of 63936 and 63946 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 63946

Prime factors of 63946 are 2, 31973. Prime factorization of 63946 in exponential form is:

63946 = 2¹ × 31973¹

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 63946

List of positive integer factors of 63946 that divides 63936 without a remainder.

1, 2, 31973

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63936 and 63946. The biggest common factor number is the GCF number.
So the greatest common factor 63936 and 63946 is 2.

Also check out the Least Common Multiple of 63936 and 63946