What is the Greatest Common Factor of 27100 and 27111?

Greatest common factor (GCF) of 27100 and 27111 is 1.

GCF(27100,27111) = 1

We will now calculate the prime factors of 27100 and 27111, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27100 and 27111.

How to find the GCF of 27100 and 27111?

We will first find the prime factorization of 27100 and 27111. After we will calculate the factors of 27100 and 27111 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 27111

Prime factors of 27111 are 3, 7, 1291. Prime factorization of 27111 in exponential form is:

27111 = 3¹ × 7¹ × 1291¹

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 27111

List of positive integer factors of 27111 that divides 27100 without a remainder.

1, 3, 7, 21, 1291, 3873, 9037

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27100 and 27111. The biggest common factor number is the GCF number.
So the greatest common factor 27100 and 27111 is 1.

Also check out the Least Common Multiple of 27100 and 27111