What is the Greatest Common Factor of 27624 and 27638?

Greatest common factor (GCF) of 27624 and 27638 is 2.

GCF(27624,27638) = 2

We will now calculate the prime factors of 27624 and 27638, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27624 and 27638.

How to find the GCF of 27624 and 27638?

We will first find the prime factorization of 27624 and 27638. After we will calculate the factors of 27624 and 27638 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 27638

Prime factors of 27638 are 2, 13, 1063. Prime factorization of 27638 in exponential form is:

27638 = 2¹ × 13¹ × 1063¹

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 27638

List of positive integer factors of 27638 that divides 27624 without a remainder.

1, 2, 13, 26, 1063, 2126, 13819

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27624 and 27638. The biggest common factor number is the GCF number.
So the greatest common factor 27624 and 27638 is 2.

Also check out the Least Common Multiple of 27624 and 27638