What is the Greatest Common Factor of 32616 and 32632?

Greatest common factor (GCF) of 32616 and 32632 is 8.

GCF(32616,32632) = 8

We will now calculate the prime factors of 32616 and 32632, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32616 and 32632.

How to find the GCF of 32616 and 32632?

We will first find the prime factorization of 32616 and 32632. After we will calculate the factors of 32616 and 32632 and find the biggest common factor number .

Step-1: Prime Factorization of 32616

Prime factors of 32616 are 2, 3, 151. Prime factorization of 32616 in exponential form is:

32616 = 2³ × 3³ × 151¹

Step-2: Prime Factorization of 32632

Prime factors of 32632 are 2, 4079. Prime factorization of 32632 in exponential form is:

32632 = 2³ × 4079¹

Step-3: Factors of 32616

List of positive integer factors of 32616 that divides 32616 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 151, 216, 302, 453, 604, 906, 1208, 1359, 1812, 2718, 3624, 4077, 5436, 8154, 10872, 16308

Step-4: Factors of 32632

List of positive integer factors of 32632 that divides 32616 without a remainder.

1, 2, 4, 8, 4079, 8158, 16316

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32616 and 32632. The biggest common factor number is the GCF number.
So the greatest common factor 32616 and 32632 is 8.

Also check out the Least Common Multiple of 32616 and 32632