What is the Greatest Common Factor of 615 and 630?

Greatest common factor (GCF) of 615 and 630 is 15.

GCF(615,630) = 15

We will now calculate the prime factors of 615 and 630, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 615 and 630.

How to find the GCF of 615 and 630?

We will first find the prime factorization of 615 and 630. After we will calculate the factors of 615 and 630 and find the biggest common factor number .

Step-1: Prime Factorization of 615

Prime factors of 615 are 3, 5, 41. Prime factorization of 615 in exponential form is:

615 = 3¹ × 5¹ × 41¹

Step-2: Prime Factorization of 630

Prime factors of 630 are 2, 3, 5, 7. Prime factorization of 630 in exponential form is:

630 = 2¹ × 3² × 5¹ × 7¹

Step-3: Factors of 615

List of positive integer factors of 615 that divides 615 without a remainder.

1, 3, 5, 15, 41, 123, 205

Step-4: Factors of 630

List of positive integer factors of 630 that divides 615 without a remainder.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 615 and 630. The biggest common factor number is the GCF number.
So the greatest common factor 615 and 630 is 15.

Also check out the Least Common Multiple of 615 and 630