What is the Greatest Common Factor of 96109 and 96122?

Greatest common factor (GCF) of 96109 and 96122 is 13.

GCF(96109,96122) = 13

We will now calculate the prime factors of 96109 and 96122, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96109 and 96122.

How to find the GCF of 96109 and 96122?

We will first find the prime factorization of 96109 and 96122. After we will calculate the factors of 96109 and 96122 and find the biggest common factor number .

Step-1: Prime Factorization of 96109

Prime factors of 96109 are 13, 7393. Prime factorization of 96109 in exponential form is:

96109 = 13¹ × 7393¹

Step-2: Prime Factorization of 96122

Prime factors of 96122 are 2, 13, 3697. Prime factorization of 96122 in exponential form is:

96122 = 2¹ × 13¹ × 3697¹

Step-3: Factors of 96109

List of positive integer factors of 96109 that divides 96109 without a remainder.

1, 13, 7393

Step-4: Factors of 96122

List of positive integer factors of 96122 that divides 96109 without a remainder.

1, 2, 13, 26, 3697, 7394, 48061

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96109 and 96122. The biggest common factor number is the GCF number.
So the greatest common factor 96109 and 96122 is 13.

Also check out the Least Common Multiple of 96109 and 96122