What is the Greatest Common Factor of 27624 and 27639?

Greatest common factor (GCF) of 27624 and 27639 is 3.

GCF(27624,27639) = 3

We will now calculate the prime factors of 27624 and 27639, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27624 and 27639.

How to find the GCF of 27624 and 27639?

We will first find the prime factorization of 27624 and 27639. After we will calculate the factors of 27624 and 27639 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 27639

Prime factors of 27639 are 3, 37, 83. Prime factorization of 27639 in exponential form is:

27639 = 3² × 37¹ × 83¹

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 27639

List of positive integer factors of 27639 that divides 27624 without a remainder.

1, 3, 9, 37, 83, 111, 249, 333, 747, 3071, 9213

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27624 and 27639. The biggest common factor number is the GCF number.
So the greatest common factor 27624 and 27639 is 3.

Also check out the Least Common Multiple of 27624 and 27639