What is the Greatest Common Factor of 97096 and 97108?

Greatest common factor (GCF) of 97096 and 97108 is 4.

GCF(97096,97108) = 4

We will now calculate the prime factors of 97096 and 97108, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97096 and 97108.

How to find the GCF of 97096 and 97108?

We will first find the prime factorization of 97096 and 97108. After we will calculate the factors of 97096 and 97108 and find the biggest common factor number .

Step-1: Prime Factorization of 97096

Prime factors of 97096 are 2, 53, 229. Prime factorization of 97096 in exponential form is:

97096 = 2³ × 53¹ × 229¹

Step-2: Prime Factorization of 97108

Prime factors of 97108 are 2, 11, 2207. Prime factorization of 97108 in exponential form is:

97108 = 2² × 11¹ × 2207¹

Step-3: Factors of 97096

List of positive integer factors of 97096 that divides 97096 without a remainder.

1, 2, 4, 8, 53, 106, 212, 229, 424, 458, 916, 1832, 12137, 24274, 48548

Step-4: Factors of 97108

List of positive integer factors of 97108 that divides 97096 without a remainder.

1, 2, 4, 11, 22, 44, 2207, 4414, 8828, 24277, 48554

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97096 and 97108. The biggest common factor number is the GCF number.
So the greatest common factor 97096 and 97108 is 4.

Also check out the Least Common Multiple of 97096 and 97108