What is the Greatest Common Factor of 68125 and 68130?

Greatest common factor (GCF) of 68125 and 68130 is 5.

GCF(68125,68130) = 5

We will now calculate the prime factors of 68125 and 68130, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68125 and 68130.

How to find the GCF of 68125 and 68130?

We will first find the prime factorization of 68125 and 68130. After we will calculate the factors of 68125 and 68130 and find the biggest common factor number .

Step-1: Prime Factorization of 68125

Prime factors of 68125 are 5, 109. Prime factorization of 68125 in exponential form is:

68125 = 5⁴ × 109¹

Step-2: Prime Factorization of 68130

Prime factors of 68130 are 2, 3, 5, 757. Prime factorization of 68130 in exponential form is:

68130 = 2¹ × 3² × 5¹ × 757¹

Step-3: Factors of 68125

List of positive integer factors of 68125 that divides 68125 without a remainder.

1, 5, 25, 109, 125, 545, 625, 2725, 13625

Step-4: Factors of 68130

List of positive integer factors of 68130 that divides 68125 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 757, 1514, 2271, 3785, 4542, 6813, 7570, 11355, 13626, 22710, 34065

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68125 and 68130. The biggest common factor number is the GCF number.
So the greatest common factor 68125 and 68130 is 5.

Also check out the Least Common Multiple of 68125 and 68130