What is the Greatest Common Factor of 97297 and 97312?

Greatest common factor (GCF) of 97297 and 97312 is 1.

GCF(97297,97312) = 1

We will now calculate the prime factors of 97297 and 97312, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97297 and 97312.

How to find the GCF of 97297 and 97312?

We will first find the prime factorization of 97297 and 97312. After we will calculate the factors of 97297 and 97312 and find the biggest common factor number .

Step-1: Prime Factorization of 97297

Prime factors of 97297 are 149, 653. Prime factorization of 97297 in exponential form is:

97297 = 149¹ × 653¹

Step-2: Prime Factorization of 97312

Prime factors of 97312 are 2, 3041. Prime factorization of 97312 in exponential form is:

97312 = 2⁵ × 3041¹

Step-3: Factors of 97297

List of positive integer factors of 97297 that divides 97297 without a remainder.

1, 149, 653

Step-4: Factors of 97312

List of positive integer factors of 97312 that divides 97297 without a remainder.

1, 2, 4, 8, 16, 32, 3041, 6082, 12164, 24328, 48656

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97297 and 97312. The biggest common factor number is the GCF number.
So the greatest common factor 97297 and 97312 is 1.

Also check out the Least Common Multiple of 97297 and 97312