What is the Greatest Common Factor of 96131 and 96139?

Greatest common factor (GCF) of 96131 and 96139 is 1.

GCF(96131,96139) = 1

We will now calculate the prime factors of 96131 and 96139, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96131 and 96139.

How to find the GCF of 96131 and 96139?

We will first find the prime factorization of 96131 and 96139. After we will calculate the factors of 96131 and 96139 and find the biggest common factor number .

Step-1: Prime Factorization of 96131

Prime factors of 96131 are 7, 31, 443. Prime factorization of 96131 in exponential form is:

96131 = 7¹ × 31¹ × 443¹

Step-2: Prime Factorization of 96139

Prime factors of 96139 are 127, 757. Prime factorization of 96139 in exponential form is:

96139 = 127¹ × 757¹

Step-3: Factors of 96131

List of positive integer factors of 96131 that divides 96131 without a remainder.

1, 7, 31, 217, 443, 3101, 13733

Step-4: Factors of 96139

List of positive integer factors of 96139 that divides 96131 without a remainder.

1, 127, 757

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96131 and 96139. The biggest common factor number is the GCF number.
So the greatest common factor 96131 and 96139 is 1.

Also check out the Least Common Multiple of 96131 and 96139