What is the Greatest Common Factor of 27138 and 27150?

Greatest common factor (GCF) of 27138 and 27150 is 6.

GCF(27138,27150) = 6

We will now calculate the prime factors of 27138 and 27150, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27138 and 27150.

How to find the GCF of 27138 and 27150?

We will first find the prime factorization of 27138 and 27150. After we will calculate the factors of 27138 and 27150 and find the biggest common factor number .

Step-1: Prime Factorization of 27138

Prime factors of 27138 are 2, 3, 4523. Prime factorization of 27138 in exponential form is:

27138 = 2¹ × 3¹ × 4523¹

Step-2: Prime Factorization of 27150

Prime factors of 27150 are 2, 3, 5, 181. Prime factorization of 27150 in exponential form is:

27150 = 2¹ × 3¹ × 5² × 181¹

Step-3: Factors of 27138

List of positive integer factors of 27138 that divides 27138 without a remainder.

1, 2, 3, 6, 4523, 9046, 13569

Step-4: Factors of 27150

List of positive integer factors of 27150 that divides 27138 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150, 181, 362, 543, 905, 1086, 1810, 2715, 4525, 5430, 9050, 13575

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27138 and 27150. The biggest common factor number is the GCF number.
So the greatest common factor 27138 and 27150 is 6.

Also check out the Least Common Multiple of 27138 and 27150