What is the Greatest Common Factor of 500 and 507?

Greatest common factor (GCF) of 500 and 507 is 1.

GCF(500,507) = 1

We will now calculate the prime factors of 500 and 507, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 500 and 507.

How to find the GCF of 500 and 507?

We will first find the prime factorization of 500 and 507. After we will calculate the factors of 500 and 507 and find the biggest common factor number .

Step-1: Prime Factorization of 500

Prime factors of 500 are 2, 5. Prime factorization of 500 in exponential form is:

500 = 2² × 5³

Step-2: Prime Factorization of 507

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

507 = 3¹ × 13²

Step-3: Factors of 500

List of positive integer factors of 500 that divides 500 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250

Step-4: Factors of 507

List of positive integer factors of 507 that divides 500 without a remainder.

1, 3, 13, 39, 169

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 500 and 507. The biggest common factor number is the GCF number.
So the greatest common factor 500 and 507 is 1.

Also check out the Least Common Multiple of 500 and 507