What is the Greatest Common Factor of 89131 and 89139?

Greatest common factor (GCF) of 89131 and 89139 is 1.

GCF(89131,89139) = 1

We will now calculate the prime factors of 89131 and 89139, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89131 and 89139.

How to find the GCF of 89131 and 89139?

We will first find the prime factorization of 89131 and 89139. After we will calculate the factors of 89131 and 89139 and find the biggest common factor number .

Step-1: 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-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 89131

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

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

Step-4: Factors of 89139

List of positive integer factors of 89139 that divides 89131 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89131 and 89139. The biggest common factor number is the GCF number.
So the greatest common factor 89131 and 89139 is 1.

Also check out the Least Common Multiple of 89131 and 89139