What is the Greatest Common Factor of 632 and 645?

Greatest common factor (GCF) of 632 and 645 is 1.

GCF(632,645) = 1

We will now calculate the prime factors of 632 and 645, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 632 and 645.

How to find the GCF of 632 and 645?

We will first find the prime factorization of 632 and 645. After we will calculate the factors of 632 and 645 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 645

Prime factors of 645 are 3, 5, 43. Prime factorization of 645 in exponential form is:

645 = 3¹ × 5¹ × 43¹

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 645

List of positive integer factors of 645 that divides 632 without a remainder.

1, 3, 5, 15, 43, 129, 215

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 632 and 645. The biggest common factor number is the GCF number.
So the greatest common factor 632 and 645 is 1.

Also check out the Least Common Multiple of 632 and 645