What is the Greatest Common Factor of 87125 and 87130?

Greatest common factor (GCF) of 87125 and 87130 is 5.

GCF(87125,87130) = 5

We will now calculate the prime factors of 87125 and 87130, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87125 and 87130.

How to find the GCF of 87125 and 87130?

We will first find the prime factorization of 87125 and 87130. After we will calculate the factors of 87125 and 87130 and find the biggest common factor number .

Step-1: Prime Factorization of 87125

Prime factors of 87125 are 5, 17, 41. Prime factorization of 87125 in exponential form is:

87125 = 5³ × 17¹ × 41¹

Step-2: Prime Factorization of 87130

Prime factors of 87130 are 2, 5, 8713. Prime factorization of 87130 in exponential form is:

87130 = 2¹ × 5¹ × 8713¹

Step-3: Factors of 87125

List of positive integer factors of 87125 that divides 87125 without a remainder.

1, 5, 17, 25, 41, 85, 125, 205, 425, 697, 1025, 2125, 3485, 5125, 17425

Step-4: Factors of 87130

List of positive integer factors of 87130 that divides 87125 without a remainder.

1, 2, 5, 10, 8713, 17426, 43565

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87125 and 87130. The biggest common factor number is the GCF number.
So the greatest common factor 87125 and 87130 is 5.

Also check out the Least Common Multiple of 87125 and 87130