What is the Greatest Common Factor of 97044 and 97056?

Greatest common factor (GCF) of 97044 and 97056 is 12.

GCF(97044,97056) = 12

We will now calculate the prime factors of 97044 and 97056, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97044 and 97056.

How to find the GCF of 97044 and 97056?

We will first find the prime factorization of 97044 and 97056. After we will calculate the factors of 97044 and 97056 and find the biggest common factor number .

Step-1: Prime Factorization of 97044

Prime factors of 97044 are 2, 3, 8087. Prime factorization of 97044 in exponential form is:

97044 = 2² × 3¹ × 8087¹

Step-2: 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-3: Factors of 97044

List of positive integer factors of 97044 that divides 97044 without a remainder.

1, 2, 3, 4, 6, 12, 8087, 16174, 24261, 32348, 48522

Step-4: Factors of 97056

List of positive integer factors of 97056 that divides 97044 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97044 and 97056. The biggest common factor number is the GCF number.
So the greatest common factor 97044 and 97056 is 12.

Also check out the Least Common Multiple of 97044 and 97056