What is the Greatest Common Factor of 564 and 568?

Greatest common factor (GCF) of 564 and 568 is 4.

GCF(564,568) = 4

We will now calculate the prime factors of 564 and 568, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 564 and 568.

How to find the GCF of 564 and 568?

We will first find the prime factorization of 564 and 568. After we will calculate the factors of 564 and 568 and find the biggest common factor number .

Step-1: Prime Factorization of 564

Prime factors of 564 are 2, 3, 47. Prime factorization of 564 in exponential form is:

564 = 2² × 3¹ × 47¹

Step-2: Prime Factorization of 568

Prime factors of 568 are 2, 71. Prime factorization of 568 in exponential form is:

568 = 2³ × 71¹

Step-3: Factors of 564

List of positive integer factors of 564 that divides 564 without a remainder.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282

Step-4: Factors of 568

List of positive integer factors of 568 that divides 564 without a remainder.

1, 2, 4, 8, 71, 142, 284

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 564 and 568. The biggest common factor number is the GCF number.
So the greatest common factor 564 and 568 is 4.

Also check out the Least Common Multiple of 564 and 568