What is the Greatest Common Factor of 27114 and 27134?

Greatest common factor (GCF) of 27114 and 27134 is 2.

GCF(27114,27134) = 2

We will now calculate the prime factors of 27114 and 27134, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27114 and 27134.

How to find the GCF of 27114 and 27134?

We will first find the prime factorization of 27114 and 27134. After we will calculate the factors of 27114 and 27134 and find the biggest common factor number .

Step-1: Prime Factorization of 27114

Prime factors of 27114 are 2, 3, 4519. Prime factorization of 27114 in exponential form is:

27114 = 2¹ × 3¹ × 4519¹

Step-2: Prime Factorization of 27134

Prime factors of 27134 are 2, 13567. Prime factorization of 27134 in exponential form is:

27134 = 2¹ × 13567¹

Step-3: Factors of 27114

List of positive integer factors of 27114 that divides 27114 without a remainder.

1, 2, 3, 6, 4519, 9038, 13557

Step-4: Factors of 27134

List of positive integer factors of 27134 that divides 27114 without a remainder.

1, 2, 13567

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27114 and 27134. The biggest common factor number is the GCF number.
So the greatest common factor 27114 and 27134 is 2.

Also check out the Least Common Multiple of 27114 and 27134