What is the Greatest Common Factor of 14564 and 14568?

Greatest common factor (GCF) of 14564 and 14568 is 4.

GCF(14564,14568) = 4

We will now calculate the prime factors of 14564 and 14568, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14564 and 14568.

How to find the GCF of 14564 and 14568?

We will first find the prime factorization of 14564 and 14568. After we will calculate the factors of 14564 and 14568 and find the biggest common factor number .

Step-1: Prime Factorization of 14564

Prime factors of 14564 are 2, 11, 331. Prime factorization of 14564 in exponential form is:

14564 = 2² × 11¹ × 331¹

Step-2: Prime Factorization of 14568

Prime factors of 14568 are 2, 3, 607. Prime factorization of 14568 in exponential form is:

14568 = 2³ × 3¹ × 607¹

Step-3: Factors of 14564

List of positive integer factors of 14564 that divides 14564 without a remainder.

1, 2, 4, 11, 22, 44, 331, 662, 1324, 3641, 7282

Step-4: Factors of 14568

List of positive integer factors of 14568 that divides 14564 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 607, 1214, 1821, 2428, 3642, 4856, 7284

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14564 and 14568. The biggest common factor number is the GCF number.
So the greatest common factor 14564 and 14568 is 4.

Also check out the Least Common Multiple of 14564 and 14568