What is the Greatest Common Factor of 63456 and 63468?

Greatest common factor (GCF) of 63456 and 63468 is 12.

GCF(63456,63468) = 12

We will now calculate the prime factors of 63456 and 63468, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63456 and 63468.

How to find the GCF of 63456 and 63468?

We will first find the prime factorization of 63456 and 63468. After we will calculate the factors of 63456 and 63468 and find the biggest common factor number .

Step-1: Prime Factorization of 63456

Prime factors of 63456 are 2, 3, 661. Prime factorization of 63456 in exponential form is:

63456 = 2⁵ × 3¹ × 661¹

Step-2: Prime Factorization of 63468

Prime factors of 63468 are 2, 3, 41, 43. Prime factorization of 63468 in exponential form is:

63468 = 2² × 3² × 41¹ × 43¹

Step-3: Factors of 63456

List of positive integer factors of 63456 that divides 63456 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 661, 1322, 1983, 2644, 3966, 5288, 7932, 10576, 15864, 21152, 31728

Step-4: Factors of 63468

List of positive integer factors of 63468 that divides 63456 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 41, 43, 82, 86, 123, 129, 164, 172, 246, 258, 369, 387, 492, 516, 738, 774, 1476, 1548, 1763, 3526, 5289, 7052, 10578, 15867, 21156, 31734

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63456 and 63468. The biggest common factor number is the GCF number.
So the greatest common factor 63456 and 63468 is 12.

Also check out the Least Common Multiple of 63456 and 63468