What is the Greatest Common Factor of 27114 and 27122?

Greatest common factor (GCF) of 27114 and 27122 is 2.

GCF(27114,27122) = 2

We will now calculate the prime factors of 27114 and 27122, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27114 and 27122.

How to find the GCF of 27114 and 27122?

We will first find the prime factorization of 27114 and 27122. After we will calculate the factors of 27114 and 27122 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 27122

Prime factors of 27122 are 2, 71, 191. Prime factorization of 27122 in exponential form is:

27122 = 2¹ × 71¹ × 191¹

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 27122

List of positive integer factors of 27122 that divides 27114 without a remainder.

1, 2, 71, 142, 191, 382, 13561

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27114 and 27122. The biggest common factor number is the GCF number.
So the greatest common factor 27114 and 27122 is 2.

Also check out the Least Common Multiple of 27114 and 27122