What is the Greatest Common Factor of 89125 and 89139?

Greatest common factor (GCF) of 89125 and 89139 is 1.

GCF(89125,89139) = 1

We will now calculate the prime factors of 89125 and 89139, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89125 and 89139.

How to find the GCF of 89125 and 89139?

We will first find the prime factorization of 89125 and 89139. After we will calculate the factors of 89125 and 89139 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 89139

Prime factors of 89139 are 3, 43, 691. Prime factorization of 89139 in exponential form is:

89139 = 3¹ × 43¹ × 691¹

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 89139

List of positive integer factors of 89139 that divides 89125 without a remainder.

1, 3, 43, 129, 691, 2073, 29713

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89125 and 89139. The biggest common factor number is the GCF number.
So the greatest common factor 89125 and 89139 is 1.

Also check out the Least Common Multiple of 89125 and 89139