What is the Greatest Common Factor of 27376 and 27388?

Greatest common factor (GCF) of 27376 and 27388 is 4.

GCF(27376,27388) = 4

We will now calculate the prime factors of 27376 and 27388, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27376 and 27388.

How to find the GCF of 27376 and 27388?

We will first find the prime factorization of 27376 and 27388. After we will calculate the factors of 27376 and 27388 and find the biggest common factor number .

Step-1: Prime Factorization of 27376

Prime factors of 27376 are 2, 29, 59. Prime factorization of 27376 in exponential form is:

27376 = 2⁴ × 29¹ × 59¹

Step-2: Prime Factorization of 27388

Prime factors of 27388 are 2, 41, 167. Prime factorization of 27388 in exponential form is:

27388 = 2² × 41¹ × 167¹

Step-3: Factors of 27376

List of positive integer factors of 27376 that divides 27376 without a remainder.

1, 2, 4, 8, 16, 29, 58, 59, 116, 118, 232, 236, 464, 472, 944, 1711, 3422, 6844, 13688

Step-4: Factors of 27388

List of positive integer factors of 27388 that divides 27376 without a remainder.

1, 2, 4, 41, 82, 164, 167, 334, 668, 6847, 13694

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27376 and 27388. The biggest common factor number is the GCF number.
So the greatest common factor 27376 and 27388 is 4.

Also check out the Least Common Multiple of 27376 and 27388