What is the Greatest Common Factor of 89125 and 89131?

Greatest common factor (GCF) of 89125 and 89131 is 1.

GCF(89125,89131) = 1

We will now calculate the prime factors of 89125 and 89131, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89125 and 89131.

How to find the GCF of 89125 and 89131?

We will first find the prime factorization of 89125 and 89131. After we will calculate the factors of 89125 and 89131 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 89131

Prime factors of 89131 are 7, 17, 107. Prime factorization of 89131 in exponential form is:

89131 = 7² × 17¹ × 107¹

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 89131

List of positive integer factors of 89131 that divides 89125 without a remainder.

1, 7, 17, 49, 107, 119, 749, 833, 1819, 5243, 12733

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89125 and 89131. The biggest common factor number is the GCF number.
So the greatest common factor 89125 and 89131 is 1.

Also check out the Least Common Multiple of 89125 and 89131