What is the Greatest Common Factor of 627 and 636?

Greatest common factor (GCF) of 627 and 636 is 3.

GCF(627,636) = 3

We will now calculate the prime factors of 627 and 636, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 627 and 636.

How to find the GCF of 627 and 636?

We will first find the prime factorization of 627 and 636. After we will calculate the factors of 627 and 636 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 636

Prime factors of 636 are 2, 3, 53. Prime factorization of 636 in exponential form is:

636 = 2² × 3¹ × 53¹

Step-3: Factors of 627

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

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

Step-4: Factors of 636

List of positive integer factors of 636 that divides 627 without a remainder.

1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 627 and 636. The biggest common factor number is the GCF number.
So the greatest common factor 627 and 636 is 3.

Also check out the Least Common Multiple of 627 and 636