What is the Greatest Common Factor of 97038 and 97056?

Greatest common factor (GCF) of 97038 and 97056 is 18.

GCF(97038,97056) = 18

We will now calculate the prime factors of 97038 and 97056, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97038 and 97056.

How to find the GCF of 97038 and 97056?

We will first find the prime factorization of 97038 and 97056. After we will calculate the factors of 97038 and 97056 and find the biggest common factor number .

Step-1: Prime Factorization of 97038

Prime factors of 97038 are 2, 3, 599. Prime factorization of 97038 in exponential form is:

97038 = 2¹ × 3⁴ × 599¹

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 97038

List of positive integer factors of 97038 that divides 97038 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 599, 1198, 1797, 3594, 5391, 10782, 16173, 32346, 48519

Step-4: Factors of 97056

List of positive integer factors of 97056 that divides 97038 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 97038 and 97056. The biggest common factor number is the GCF number.
So the greatest common factor 97038 and 97056 is 18.

Also check out the Least Common Multiple of 97038 and 97056