What is the Greatest Common Factor of 97056 and 97074?

Greatest common factor (GCF) of 97056 and 97074 is 18.

GCF(97056,97074) = 18

We will now calculate the prime factors of 97056 and 97074, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97056 and 97074.

How to find the GCF of 97056 and 97074?

We will first find the prime factorization of 97056 and 97074. After we will calculate the factors of 97056 and 97074 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 97074

Prime factors of 97074 are 2, 3, 5393. Prime factorization of 97074 in exponential form is:

97074 = 2¹ × 3² × 5393¹

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 97074

List of positive integer factors of 97074 that divides 97056 without a remainder.

1, 2, 3, 6, 9, 18, 5393, 10786, 16179, 32358, 48537

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97056 and 97074. The biggest common factor number is the GCF number.
So the greatest common factor 97056 and 97074 is 18.

Also check out the Least Common Multiple of 97056 and 97074