What is the Greatest Common Factor of 97296 and 97312?

Greatest common factor (GCF) of 97296 and 97312 is 16.

GCF(97296,97312) = 16

We will now calculate the prime factors of 97296 and 97312, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97296 and 97312.

How to find the GCF of 97296 and 97312?

We will first find the prime factorization of 97296 and 97312. After we will calculate the factors of 97296 and 97312 and find the biggest common factor number .

Step-1: Prime Factorization of 97296

Prime factors of 97296 are 2, 3, 2027. Prime factorization of 97296 in exponential form is:

97296 = 2⁴ × 3¹ × 2027¹

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 97296

List of positive integer factors of 97296 that divides 97296 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 2027, 4054, 6081, 8108, 12162, 16216, 24324, 32432, 48648

Step-4: Factors of 97312

List of positive integer factors of 97312 that divides 97296 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 97296 and 97312. The biggest common factor number is the GCF number.
So the greatest common factor 97296 and 97312 is 16.

Also check out the Least Common Multiple of 97296 and 97312