What is the Greatest Common Factor of 522 and 537?

Greatest common factor (GCF) of 522 and 537 is 3.

GCF(522,537) = 3

We will now calculate the prime factors of 522 and 537, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 522 and 537.

How to find the GCF of 522 and 537?

We will first find the prime factorization of 522 and 537. After we will calculate the factors of 522 and 537 and find the biggest common factor number .

Step-1: Prime Factorization of 522

Prime factors of 522 are 2, 3, 29. Prime factorization of 522 in exponential form is:

522 = 2¹ × 3² × 29¹

Step-2: Prime Factorization of 537

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

537 = 3¹ × 179¹

Step-3: Factors of 522

List of positive integer factors of 522 that divides 522 without a remainder.

1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261

Step-4: Factors of 537

List of positive integer factors of 537 that divides 522 without a remainder.

1, 3, 179

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 522 and 537. The biggest common factor number is the GCF number.
So the greatest common factor 522 and 537 is 3.

Also check out the Least Common Multiple of 522 and 537