What is the Greatest Common Factor of 97312 and 97325?

Greatest common factor (GCF) of 97312 and 97325 is 1.

GCF(97312,97325) = 1

We will now calculate the prime factors of 97312 and 97325, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97312 and 97325.

How to find the GCF of 97312 and 97325?

We will first find the prime factorization of 97312 and 97325. After we will calculate the factors of 97312 and 97325 and find the biggest common factor number .

Step-1: Prime Factorization of 97312

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

97312 = 2⁵ × 3041¹

Step-2: Prime Factorization of 97325

Prime factors of 97325 are 5, 17, 229. Prime factorization of 97325 in exponential form is:

97325 = 5² × 17¹ × 229¹

Step-3: Factors of 97312

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

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

Step-4: Factors of 97325

List of positive integer factors of 97325 that divides 97312 without a remainder.

1, 5, 17, 25, 85, 229, 425, 1145, 3893, 5725, 19465

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97312 and 97325. The biggest common factor number is the GCF number.
So the greatest common factor 97312 and 97325 is 1.

Also check out the Least Common Multiple of 97312 and 97325