What is the Greatest Common Factor of 63356 and 63368?

Greatest common factor (GCF) of 63356 and 63368 is 4.

GCF(63356,63368) = 4

We will now calculate the prime factors of 63356 and 63368, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63356 and 63368.

How to find the GCF of 63356 and 63368?

We will first find the prime factorization of 63356 and 63368. After we will calculate the factors of 63356 and 63368 and find the biggest common factor number .

Step-1: Prime Factorization of 63356

Prime factors of 63356 are 2, 47, 337. Prime factorization of 63356 in exponential form is:

63356 = 2² × 47¹ × 337¹

Step-2: Prime Factorization of 63368

Prime factors of 63368 are 2, 89. Prime factorization of 63368 in exponential form is:

63368 = 2³ × 89²

Step-3: Factors of 63356

List of positive integer factors of 63356 that divides 63356 without a remainder.

1, 2, 4, 47, 94, 188, 337, 674, 1348, 15839, 31678

Step-4: Factors of 63368

List of positive integer factors of 63368 that divides 63356 without a remainder.

1, 2, 4, 8, 89, 178, 356, 712, 7921, 15842, 31684

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63356 and 63368. The biggest common factor number is the GCF number.
So the greatest common factor 63356 and 63368 is 4.

Also check out the Least Common Multiple of 63356 and 63368