What is the Greatest Common Factor of 97312 and 97332?

Greatest common factor (GCF) of 97312 and 97332 is 4.

GCF(97312,97332) = 4

We will now calculate the prime factors of 97312 and 97332, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97312 and 97332.

How to find the GCF of 97312 and 97332?

We will first find the prime factorization of 97312 and 97332. After we will calculate the factors of 97312 and 97332 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 97332

Prime factors of 97332 are 2, 3, 8111. Prime factorization of 97332 in exponential form is:

97332 = 2² × 3¹ × 8111¹

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 97332

List of positive integer factors of 97332 that divides 97312 without a remainder.

1, 2, 3, 4, 6, 12, 8111, 16222, 24333, 32444, 48666

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97312 and 97332. The biggest common factor number is the GCF number.
So the greatest common factor 97312 and 97332 is 4.

Also check out the Least Common Multiple of 97312 and 97332