What is the Greatest Common Factor of 27624 and 27632?

Greatest common factor (GCF) of 27624 and 27632 is 8.

GCF(27624,27632) = 8

We will now calculate the prime factors of 27624 and 27632, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27624 and 27632.

How to find the GCF of 27624 and 27632?

We will first find the prime factorization of 27624 and 27632. After we will calculate the factors of 27624 and 27632 and find the biggest common factor number .

Step-1: Prime Factorization of 27624

Prime factors of 27624 are 2, 3, 1151. Prime factorization of 27624 in exponential form is:

27624 = 2³ × 3¹ × 1151¹

Step-2: Prime Factorization of 27632

Prime factors of 27632 are 2, 11, 157. Prime factorization of 27632 in exponential form is:

27632 = 2⁴ × 11¹ × 157¹

Step-3: Factors of 27624

List of positive integer factors of 27624 that divides 27624 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 1151, 2302, 3453, 4604, 6906, 9208, 13812

Step-4: Factors of 27632

List of positive integer factors of 27632 that divides 27624 without a remainder.

1, 2, 4, 8, 11, 16, 22, 44, 88, 157, 176, 314, 628, 1256, 1727, 2512, 3454, 6908, 13816

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27624 and 27632. The biggest common factor number is the GCF number.
So the greatest common factor 27624 and 27632 is 8.

Also check out the Least Common Multiple of 27624 and 27632