What is the Greatest Common Factor of 27100 and 27108?

Greatest common factor (GCF) of 27100 and 27108 is 4.

GCF(27100,27108) = 4

We will now calculate the prime factors of 27100 and 27108, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27100 and 27108.

How to find the GCF of 27100 and 27108?

We will first find the prime factorization of 27100 and 27108. After we will calculate the factors of 27100 and 27108 and find the biggest common factor number .

Step-1: Prime Factorization of 27100

Prime factors of 27100 are 2, 5, 271. Prime factorization of 27100 in exponential form is:

27100 = 2² × 5² × 271¹

Step-2: Prime Factorization of 27108

Prime factors of 27108 are 2, 3, 251. Prime factorization of 27108 in exponential form is:

27108 = 2² × 3³ × 251¹

Step-3: Factors of 27100

List of positive integer factors of 27100 that divides 27100 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 271, 542, 1084, 1355, 2710, 5420, 6775, 13550

Step-4: Factors of 27108

List of positive integer factors of 27108 that divides 27100 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 251, 502, 753, 1004, 1506, 2259, 3012, 4518, 6777, 9036, 13554

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27100 and 27108. The biggest common factor number is the GCF number.
So the greatest common factor 27100 and 27108 is 4.

Also check out the Least Common Multiple of 27100 and 27108