What is the Greatest Common Factor of 27126 and 27137?

Greatest common factor (GCF) of 27126 and 27137 is 11.

GCF(27126,27137) = 11

We will now calculate the prime factors of 27126 and 27137, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27126 and 27137.

How to find the GCF of 27126 and 27137?

We will first find the prime factorization of 27126 and 27137. After we will calculate the factors of 27126 and 27137 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 27137

Prime factors of 27137 are 11, 2467. Prime factorization of 27137 in exponential form is:

27137 = 11¹ × 2467¹

Step-3: Factors of 27126

List of positive integer factors of 27126 that divides 27126 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

Step-4: Factors of 27137

List of positive integer factors of 27137 that divides 27126 without a remainder.

1, 11, 2467

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27126 and 27137. The biggest common factor number is the GCF number.
So the greatest common factor 27126 and 27137 is 11.

Also check out the Least Common Multiple of 27126 and 27137