What is the Greatest Common Factor of 13564 and 13568?

Greatest common factor (GCF) of 13564 and 13568 is 4.

GCF(13564,13568) = 4

We will now calculate the prime factors of 13564 and 13568, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13564 and 13568.

How to find the GCF of 13564 and 13568?

We will first find the prime factorization of 13564 and 13568. After we will calculate the factors of 13564 and 13568 and find the biggest common factor number .

Step-1: Prime Factorization of 13564

Prime factors of 13564 are 2, 3391. Prime factorization of 13564 in exponential form is:

13564 = 2² × 3391¹

Step-2: Prime Factorization of 13568

Prime factors of 13568 are 2, 53. Prime factorization of 13568 in exponential form is:

13568 = 2⁸ × 53¹

Step-3: Factors of 13564

List of positive integer factors of 13564 that divides 13564 without a remainder.

1, 2, 4, 3391, 6782

Step-4: Factors of 13568

List of positive integer factors of 13568 that divides 13564 without a remainder.

1, 2, 4, 8, 16, 32, 53, 64, 106, 128, 212, 256, 424, 848, 1696, 3392, 6784

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13564 and 13568. The biggest common factor number is the GCF number.
So the greatest common factor 13564 and 13568 is 4.

Also check out the Least Common Multiple of 13564 and 13568