What is the Greatest Common Factor of 507 and 527?

Greatest common factor (GCF) of 507 and 527 is 1.

GCF(507,527) = 1

We will now calculate the prime factors of 507 and 527, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 507 and 527.

How to find the GCF of 507 and 527?

We will first find the prime factorization of 507 and 527. After we will calculate the factors of 507 and 527 and find the biggest common factor number .

Step-1: Prime Factorization of 507

Prime factors of 507 are 3, 13. Prime factorization of 507 in exponential form is:

507 = 3¹ × 13²

Step-2: Prime Factorization of 527

Prime factors of 527 are 17, 31. Prime factorization of 527 in exponential form is:

527 = 17¹ × 31¹

Step-3: Factors of 507

List of positive integer factors of 507 that divides 507 without a remainder.

1, 3, 13, 39, 169

Step-4: Factors of 527

List of positive integer factors of 527 that divides 507 without a remainder.

1, 17, 31

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 507 and 527. The biggest common factor number is the GCF number.
So the greatest common factor 507 and 527 is 1.

Also check out the Least Common Multiple of 507 and 527