What is the Greatest Common Factor of 27125 and 27130?

Greatest common factor (GCF) of 27125 and 27130 is 5.

GCF(27125,27130) = 5

We will now calculate the prime factors of 27125 and 27130, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27125 and 27130.

How to find the GCF of 27125 and 27130?

We will first find the prime factorization of 27125 and 27130. After we will calculate the factors of 27125 and 27130 and find the biggest common factor number .

Step-1: Prime Factorization of 27125

Prime factors of 27125 are 5, 7, 31. Prime factorization of 27125 in exponential form is:

27125 = 5³ × 7¹ × 31¹

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 27125

List of positive integer factors of 27125 that divides 27125 without a remainder.

1, 5, 7, 25, 31, 35, 125, 155, 175, 217, 775, 875, 1085, 3875, 5425

Step-4: Factors of 27130

List of positive integer factors of 27130 that divides 27125 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27125 and 27130. The biggest common factor number is the GCF number.
So the greatest common factor 27125 and 27130 is 5.

Also check out the Least Common Multiple of 27125 and 27130