What is the Greatest Common Factor of 564 and 571?

Greatest common factor (GCF) of 564 and 571 is 1.

GCF(564,571) = 1

We will now calculate the prime factors of 564 and 571, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 564 and 571.

How to find the GCF of 564 and 571?

We will first find the prime factorization of 564 and 571. After we will calculate the factors of 564 and 571 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 571

Prime factors of 571 are 571. Prime factorization of 571 in exponential form is:

571 = 571¹

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 571

List of positive integer factors of 571 that divides 564 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 564 and 571. The biggest common factor number is the GCF number.
So the greatest common factor 564 and 571 is 1.

Also check out the Least Common Multiple of 564 and 571