What is the Greatest Common Factor of 27130 and 27150?

Greatest common factor (GCF) of 27130 and 27150 is 10.

GCF(27130,27150) = 10

We will now calculate the prime factors of 27130 and 27150, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27130 and 27150.

How to find the GCF of 27130 and 27150?

We will first find the prime factorization of 27130 and 27150. After we will calculate the factors of 27130 and 27150 and find the biggest common factor number .

Step-1: Prime Factorization of 27130

Prime factors of 27130 are 2, 5, 2713. Prime factorization of 27130 in exponential form is:

27130 = 2¹ × 5¹ × 2713¹

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 27130

List of positive integer factors of 27130 that divides 27130 without a remainder.

1, 2, 5, 10, 2713, 5426, 13565

Step-4: Factors of 27150

List of positive integer factors of 27150 that divides 27130 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 27130 and 27150. The biggest common factor number is the GCF number.
So the greatest common factor 27130 and 27150 is 10.

Also check out the Least Common Multiple of 27130 and 27150