What is the Greatest Common Factor of 63264 and 63268?

Greatest common factor (GCF) of 63264 and 63268 is 4.

GCF(63264,63268) = 4

We will now calculate the prime factors of 63264 and 63268, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63264 and 63268.

How to find the GCF of 63264 and 63268?

We will first find the prime factorization of 63264 and 63268. After we will calculate the factors of 63264 and 63268 and find the biggest common factor number .

Step-1: Prime Factorization of 63264

Prime factors of 63264 are 2, 3, 659. Prime factorization of 63264 in exponential form is:

63264 = 2⁵ × 3¹ × 659¹

Step-2: Prime Factorization of 63268

Prime factors of 63268 are 2, 15817. Prime factorization of 63268 in exponential form is:

63268 = 2² × 15817¹

Step-3: Factors of 63264

List of positive integer factors of 63264 that divides 63264 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 659, 1318, 1977, 2636, 3954, 5272, 7908, 10544, 15816, 21088, 31632

Step-4: Factors of 63268

List of positive integer factors of 63268 that divides 63264 without a remainder.

1, 2, 4, 15817, 31634

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63264 and 63268. The biggest common factor number is the GCF number.
So the greatest common factor 63264 and 63268 is 4.

Also check out the Least Common Multiple of 63264 and 63268