What is the Greatest Common Factor of 63444 and 63456?

Greatest common factor (GCF) of 63444 and 63456 is 12.

GCF(63444,63456) = 12

We will now calculate the prime factors of 63444 and 63456, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63444 and 63456.

How to find the GCF of 63444 and 63456?

We will first find the prime factorization of 63444 and 63456. After we will calculate the factors of 63444 and 63456 and find the biggest common factor number .

Step-1: Prime Factorization of 63444

Prime factors of 63444 are 2, 3, 17, 311. Prime factorization of 63444 in exponential form is:

63444 = 2² × 3¹ × 17¹ × 311¹

Step-2: 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-3: Factors of 63444

List of positive integer factors of 63444 that divides 63444 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204, 311, 622, 933, 1244, 1866, 3732, 5287, 10574, 15861, 21148, 31722

Step-4: Factors of 63456

List of positive integer factors of 63456 that divides 63444 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63444 and 63456. The biggest common factor number is the GCF number.
So the greatest common factor 63444 and 63456 is 12.

Also check out the Least Common Multiple of 63444 and 63456