What is the Greatest Common Factor of 97056 and 97072?

Greatest common factor (GCF) of 97056 and 97072 is 16.

GCF(97056,97072) = 16

We will now calculate the prime factors of 97056 and 97072, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97056 and 97072.

How to find the GCF of 97056 and 97072?

We will first find the prime factorization of 97056 and 97072. After we will calculate the factors of 97056 and 97072 and find the biggest common factor number .

Step-1: Prime Factorization of 97056

Prime factors of 97056 are 2, 3, 337. Prime factorization of 97056 in exponential form is:

97056 = 2⁵ × 3² × 337¹

Step-2: Prime Factorization of 97072

Prime factors of 97072 are 2, 6067. Prime factorization of 97072 in exponential form is:

97072 = 2⁴ × 6067¹

Step-3: Factors of 97056

List of positive integer factors of 97056 that divides 97056 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288, 337, 674, 1011, 1348, 2022, 2696, 3033, 4044, 5392, 6066, 8088, 10784, 12132, 16176, 24264, 32352, 48528

Step-4: Factors of 97072

List of positive integer factors of 97072 that divides 97056 without a remainder.

1, 2, 4, 8, 16, 6067, 12134, 24268, 48536

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97056 and 97072. The biggest common factor number is the GCF number.
So the greatest common factor 97056 and 97072 is 16.

Also check out the Least Common Multiple of 97056 and 97072