What is the Greatest Common Factor of 561 and 572?

Greatest common factor (GCF) of 561 and 572 is 11.

GCF(561,572) = 11

We will now calculate the prime factors of 561 and 572, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 561 and 572.

How to find the GCF of 561 and 572?

We will first find the prime factorization of 561 and 572. After we will calculate the factors of 561 and 572 and find the biggest common factor number .

Step-1: Prime Factorization of 561

Prime factors of 561 are 3, 11, 17. Prime factorization of 561 in exponential form is:

561 = 3¹ × 11¹ × 17¹

Step-2: Prime Factorization of 572

Prime factors of 572 are 2, 11, 13. Prime factorization of 572 in exponential form is:

572 = 2² × 11¹ × 13¹

Step-3: Factors of 561

List of positive integer factors of 561 that divides 561 without a remainder.

1, 3, 11, 17, 33, 51, 187

Step-4: Factors of 572

List of positive integer factors of 572 that divides 561 without a remainder.

1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 561 and 572. The biggest common factor number is the GCF number.
So the greatest common factor 561 and 572 is 11.

Also check out the Least Common Multiple of 561 and 572