What is the Greatest Common Factor of 77125 and 77130?

Greatest common factor (GCF) of 77125 and 77130 is 5.

GCF(77125,77130) = 5

We will now calculate the prime factors of 77125 and 77130, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77125 and 77130.

How to find the GCF of 77125 and 77130?

We will first find the prime factorization of 77125 and 77130. After we will calculate the factors of 77125 and 77130 and find the biggest common factor number .

Step-1: Prime Factorization of 77125

Prime factors of 77125 are 5, 617. Prime factorization of 77125 in exponential form is:

77125 = 5³ × 617¹

Step-2: Prime Factorization of 77130

Prime factors of 77130 are 2, 3, 5, 857. Prime factorization of 77130 in exponential form is:

77130 = 2¹ × 3² × 5¹ × 857¹

Step-3: Factors of 77125

List of positive integer factors of 77125 that divides 77125 without a remainder.

1, 5, 25, 125, 617, 3085, 15425

Step-4: Factors of 77130

List of positive integer factors of 77130 that divides 77125 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 857, 1714, 2571, 4285, 5142, 7713, 8570, 12855, 15426, 25710, 38565

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77125 and 77130. The biggest common factor number is the GCF number.
So the greatest common factor 77125 and 77130 is 5.

Also check out the Least Common Multiple of 77125 and 77130