What is the Greatest Common Factor of 632 and 642?

Greatest common factor (GCF) of 632 and 642 is 2.

GCF(632,642) = 2

We will now calculate the prime factors of 632 and 642, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 632 and 642.

How to find the GCF of 632 and 642?

We will first find the prime factorization of 632 and 642. After we will calculate the factors of 632 and 642 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 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 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 642

List of positive integer factors of 642 that divides 632 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 632 and 642. The biggest common factor number is the GCF number.
So the greatest common factor 632 and 642 is 2.

Also check out the Least Common Multiple of 632 and 642