What is the Greatest Common Factor of 89125 and 89132?

Greatest common factor (GCF) of 89125 and 89132 is 1.

GCF(89125,89132) = 1

We will now calculate the prime factors of 89125 and 89132, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89125 and 89132.

How to find the GCF of 89125 and 89132?

We will first find the prime factorization of 89125 and 89132. After we will calculate the factors of 89125 and 89132 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 89132

Prime factors of 89132 are 2, 22283. Prime factorization of 89132 in exponential form is:

89132 = 2² × 22283¹

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 89132

List of positive integer factors of 89132 that divides 89125 without a remainder.

1, 2, 4, 22283, 44566

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89125 and 89132. The biggest common factor number is the GCF number.
So the greatest common factor 89125 and 89132 is 1.

Also check out the Least Common Multiple of 89125 and 89132