What is the Greatest Common Factor of 632 and 644?

Greatest common factor (GCF) of 632 and 644 is 4.

GCF(632,644) = 4

We will now calculate the prime factors of 632 and 644, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 632 and 644.

How to find the GCF of 632 and 644?

We will first find the prime factorization of 632 and 644. After we will calculate the factors of 632 and 644 and find the biggest common factor number .

Step-1: Prime Factorization of 632

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

632 = 2³ × 79¹

Step-2: Prime Factorization of 644

Prime factors of 644 are 2, 7, 23. Prime factorization of 644 in exponential form is:

644 = 2² × 7¹ × 23¹

Step-3: Factors of 632

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

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

Step-4: Factors of 644

List of positive integer factors of 644 that divides 632 without a remainder.

1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 632 and 644. The biggest common factor number is the GCF number.
So the greatest common factor 632 and 644 is 4.

Also check out the Least Common Multiple of 632 and 644