What is the Greatest Common Factor of 96109 and 96126?

Greatest common factor (GCF) of 96109 and 96126 is 1.

GCF(96109,96126) = 1

We will now calculate the prime factors of 96109 and 96126, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96109 and 96126.

How to find the GCF of 96109 and 96126?

We will first find the prime factorization of 96109 and 96126. After we will calculate the factors of 96109 and 96126 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 96126

Prime factors of 96126 are 2, 3, 37, 433. Prime factorization of 96126 in exponential form is:

96126 = 2¹ × 3¹ × 37¹ × 433¹

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 96126

List of positive integer factors of 96126 that divides 96109 without a remainder.

1, 2, 3, 6, 37, 74, 111, 222, 433, 866, 1299, 2598, 16021, 32042, 48063

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96109 and 96126. The biggest common factor number is the GCF number.
So the greatest common factor 96109 and 96126 is 1.

Also check out the Least Common Multiple of 96109 and 96126