What is the Greatest Common Factor of 27124 and 27130?

Greatest common factor (GCF) of 27124 and 27130 is 2.

GCF(27124,27130) = 2

We will now calculate the prime factors of 27124 and 27130, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27124 and 27130.

How to find the GCF of 27124 and 27130?

We will first find the prime factorization of 27124 and 27130. After we will calculate the factors of 27124 and 27130 and find the biggest common factor number .

Step-1: Prime Factorization of 27124

Prime factors of 27124 are 2, 6781. Prime factorization of 27124 in exponential form is:

27124 = 2² × 6781¹

Step-2: 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-3: Factors of 27124

List of positive integer factors of 27124 that divides 27124 without a remainder.

1, 2, 4, 6781, 13562

Step-4: Factors of 27130

List of positive integer factors of 27130 that divides 27124 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27124 and 27130. The biggest common factor number is the GCF number.
So the greatest common factor 27124 and 27130 is 2.

Also check out the Least Common Multiple of 27124 and 27130