What is the Greatest Common Factor of 628 and 632?

Greatest common factor (GCF) of 628 and 632 is 4.

GCF(628,632) = 4

We will now calculate the prime factors of 628 and 632, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 628 and 632.

How to find the GCF of 628 and 632?

We will first find the prime factorization of 628 and 632. After we will calculate the factors of 628 and 632 and find the biggest common factor number .

Step-1: Prime Factorization of 628

Prime factors of 628 are 2, 157. Prime factorization of 628 in exponential form is:

628 = 2² × 157¹

Step-2: Prime Factorization of 632

Prime factors of 632 are 2, 79. Prime factorization of 632 in exponential form is:

632 = 2³ × 79¹

Step-3: Factors of 628

List of positive integer factors of 628 that divides 628 without a remainder.

1, 2, 4, 157, 314

Step-4: Factors of 632

List of positive integer factors of 632 that divides 628 without a remainder.

1, 2, 4, 8, 79, 158, 316

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 628 and 632. The biggest common factor number is the GCF number.
So the greatest common factor 628 and 632 is 4.

Also check out the Least Common Multiple of 628 and 632