What is the Greatest Common Factor of 89125 and 89130?

Greatest common factor (GCF) of 89125 and 89130 is 5.

GCF(89125,89130) = 5

We will now calculate the prime factors of 89125 and 89130, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89125 and 89130.

How to find the GCF of 89125 and 89130?

We will first find the prime factorization of 89125 and 89130. After we will calculate the factors of 89125 and 89130 and find the biggest common factor number .

Step-1: Prime Factorization of 89125

Prime factors of 89125 are 5, 23, 31. Prime factorization of 89125 in exponential form is:

89125 = 5³ × 23¹ × 31¹

Step-2: Prime Factorization of 89130

Prime factors of 89130 are 2, 3, 5, 2971. Prime factorization of 89130 in exponential form is:

89130 = 2¹ × 3¹ × 5¹ × 2971¹

Step-3: Factors of 89125

List of positive integer factors of 89125 that divides 89125 without a remainder.

1, 5, 23, 25, 31, 115, 125, 155, 575, 713, 775, 2875, 3565, 3875, 17825

Step-4: Factors of 89130

List of positive integer factors of 89130 that divides 89125 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 2971, 5942, 8913, 14855, 17826, 29710, 44565

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89125 and 89130. The biggest common factor number is the GCF number.
So the greatest common factor 89125 and 89130 is 5.

Also check out the Least Common Multiple of 89125 and 89130