What is the Greatest Common Factor of 608 and 627?

Greatest common factor (GCF) of 608 and 627 is 19.

GCF(608,627) = 19

We will now calculate the prime factors of 608 and 627, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 608 and 627.

How to find the GCF of 608 and 627?

We will first find the prime factorization of 608 and 627. After we will calculate the factors of 608 and 627 and find the biggest common factor number .

Step-1: Prime Factorization of 608

Prime factors of 608 are 2, 19. Prime factorization of 608 in exponential form is:

608 = 2⁵ × 19¹

Step-2: Prime Factorization of 627

Prime factors of 627 are 3, 11, 19. Prime factorization of 627 in exponential form is:

627 = 3¹ × 11¹ × 19¹

Step-3: Factors of 608

List of positive integer factors of 608 that divides 608 without a remainder.

1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304

Step-4: Factors of 627

List of positive integer factors of 627 that divides 608 without a remainder.

1, 3, 11, 19, 33, 57, 209

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 608 and 627. The biggest common factor number is the GCF number.
So the greatest common factor 608 and 627 is 19.

Also check out the Least Common Multiple of 608 and 627