What is the Greatest Common Factor of 627 and 642?

Greatest common factor (GCF) of 627 and 642 is 3.

GCF(627,642) = 3

We will now calculate the prime factors of 627 and 642, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 627 and 642.

How to find the GCF of 627 and 642?

We will first find the prime factorization of 627 and 642. After we will calculate the factors of 627 and 642 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 642

Prime factors of 642 are 2, 3, 107. Prime factorization of 642 in exponential form is:

642 = 2¹ × 3¹ × 107¹

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 642

List of positive integer factors of 642 that divides 627 without a remainder.

1, 2, 3, 6, 107, 214, 321

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 627 and 642. The biggest common factor number is the GCF number.
So the greatest common factor 627 and 642 is 3.

Also check out the Least Common Multiple of 627 and 642