What is the Greatest Common Factor of 537 and 552?

Greatest common factor (GCF) of 537 and 552 is 3.

GCF(537,552) = 3

We will now calculate the prime factors of 537 and 552, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 537 and 552.

How to find the GCF of 537 and 552?

We will first find the prime factorization of 537 and 552. After we will calculate the factors of 537 and 552 and find the biggest common factor number .

Step-1: Prime Factorization of 537

Prime factors of 537 are 3, 179. Prime factorization of 537 in exponential form is:

537 = 3¹ × 179¹

Step-2: Prime Factorization of 552

Prime factors of 552 are 2, 3, 23. Prime factorization of 552 in exponential form is:

552 = 2³ × 3¹ × 23¹

Step-3: Factors of 537

List of positive integer factors of 537 that divides 537 without a remainder.

1, 3, 179

Step-4: Factors of 552

List of positive integer factors of 552 that divides 537 without a remainder.

1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 537 and 552. The biggest common factor number is the GCF number.
So the greatest common factor 537 and 552 is 3.

Also check out the Least Common Multiple of 537 and 552