What is the Greatest Common Factor of 632 and 638?

Greatest common factor (GCF) of 632 and 638 is 2.

GCF(632,638) = 2

We will now calculate the prime factors of 632 and 638, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 632 and 638.

How to find the GCF of 632 and 638?

We will first find the prime factorization of 632 and 638. After we will calculate the factors of 632 and 638 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 638

Prime factors of 638 are 2, 11, 29. Prime factorization of 638 in exponential form is:

638 = 2¹ × 11¹ × 29¹

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 638

List of positive integer factors of 638 that divides 632 without a remainder.

1, 2, 11, 22, 29, 58, 319

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 632 and 638. The biggest common factor number is the GCF number.
So the greatest common factor 632 and 638 is 2.

Also check out the Least Common Multiple of 632 and 638