What is the Greatest Common Factor of 27100 and 27113?

Greatest common factor (GCF) of 27100 and 27113 is 1.

GCF(27100,27113) = 1

We will now calculate the prime factors of 27100 and 27113, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27100 and 27113.

How to find the GCF of 27100 and 27113?

We will first find the prime factorization of 27100 and 27113. After we will calculate the factors of 27100 and 27113 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 27113

Prime factors of 27113 are 19, 1427. Prime factorization of 27113 in exponential form is:

27113 = 19¹ × 1427¹

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 27113

List of positive integer factors of 27113 that divides 27100 without a remainder.

1, 19, 1427

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27100 and 27113. The biggest common factor number is the GCF number.
So the greatest common factor 27100 and 27113 is 1.

Also check out the Least Common Multiple of 27100 and 27113