What is the Greatest Common Factor of 27624 and 27642?

Greatest common factor (GCF) of 27624 and 27642 is 6.

GCF(27624,27642) = 6

We will now calculate the prime factors of 27624 and 27642, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27624 and 27642.

How to find the GCF of 27624 and 27642?

We will first find the prime factorization of 27624 and 27642. After we will calculate the factors of 27624 and 27642 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 27642

Prime factors of 27642 are 2, 3, 17, 271. Prime factorization of 27642 in exponential form is:

27642 = 2¹ × 3¹ × 17¹ × 271¹

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 27642

List of positive integer factors of 27642 that divides 27624 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102, 271, 542, 813, 1626, 4607, 9214, 13821

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27624 and 27642. The biggest common factor number is the GCF number.
So the greatest common factor 27624 and 27642 is 6.

Also check out the Least Common Multiple of 27624 and 27642