What is the Greatest Common Factor of 89125 and 89137?

Greatest common factor (GCF) of 89125 and 89137 is 1.

GCF(89125,89137) = 1

We will now calculate the prime factors of 89125 and 89137, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89125 and 89137.

How to find the GCF of 89125 and 89137?

We will first find the prime factorization of 89125 and 89137. After we will calculate the factors of 89125 and 89137 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 89137

Prime factors of 89137 are 89137. Prime factorization of 89137 in exponential form is:

89137 = 89137¹

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 89137

List of positive integer factors of 89137 that divides 89125 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89125 and 89137. The biggest common factor number is the GCF number.
So the greatest common factor 89125 and 89137 is 1.

Also check out the Least Common Multiple of 89125 and 89137