What is the Greatest Common Factor of 63438 and 63456?

Greatest common factor (GCF) of 63438 and 63456 is 6.

GCF(63438,63456) = 6

We will now calculate the prime factors of 63438 and 63456, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63438 and 63456.

How to find the GCF of 63438 and 63456?

We will first find the prime factorization of 63438 and 63456. After we will calculate the factors of 63438 and 63456 and find the biggest common factor number .

Step-1: Prime Factorization of 63438

Prime factors of 63438 are 2, 3, 97, 109. Prime factorization of 63438 in exponential form is:

63438 = 2¹ × 3¹ × 97¹ × 109¹

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 63438

List of positive integer factors of 63438 that divides 63438 without a remainder.

1, 2, 3, 6, 97, 109, 194, 218, 291, 327, 582, 654, 10573, 21146, 31719

Step-4: Factors of 63456

List of positive integer factors of 63456 that divides 63438 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 63438 and 63456. The biggest common factor number is the GCF number.
So the greatest common factor 63438 and 63456 is 6.

Also check out the Least Common Multiple of 63438 and 63456