What is the Greatest Common Factor of 27114 and 27126?

Greatest common factor (GCF) of 27114 and 27126 is 6.

GCF(27114,27126) = 6

We will now calculate the prime factors of 27114 and 27126, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27114 and 27126.

How to find the GCF of 27114 and 27126?

We will first find the prime factorization of 27114 and 27126. After we will calculate the factors of 27114 and 27126 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 27126

Prime factors of 27126 are 2, 3, 11, 137. Prime factorization of 27126 in exponential form is:

27126 = 2¹ × 3² × 11¹ × 137¹

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 27126

List of positive integer factors of 27126 that divides 27114 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 137, 198, 274, 411, 822, 1233, 1507, 2466, 3014, 4521, 9042, 13563

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27114 and 27126. The biggest common factor number is the GCF number.
So the greatest common factor 27114 and 27126 is 6.

Also check out the Least Common Multiple of 27114 and 27126