What is the Greatest Common Factor of 63456 and 63464?

Greatest common factor (GCF) of 63456 and 63464 is 8.

GCF(63456,63464) = 8

We will now calculate the prime factors of 63456 and 63464, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63456 and 63464.

How to find the GCF of 63456 and 63464?

We will first find the prime factorization of 63456 and 63464. After we will calculate the factors of 63456 and 63464 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 63464

Prime factors of 63464 are 2, 7933. Prime factorization of 63464 in exponential form is:

63464 = 2³ × 7933¹

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 63464

List of positive integer factors of 63464 that divides 63456 without a remainder.

1, 2, 4, 8, 7933, 15866, 31732

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63456 and 63464. The biggest common factor number is the GCF number.
So the greatest common factor 63456 and 63464 is 8.

Also check out the Least Common Multiple of 63456 and 63464