What is the Greatest Common Factor of 97038 and 97047?

Greatest common factor (GCF) of 97038 and 97047 is 9.

GCF(97038,97047) = 9

We will now calculate the prime factors of 97038 and 97047, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97038 and 97047.

How to find the GCF of 97038 and 97047?

We will first find the prime factorization of 97038 and 97047. After we will calculate the factors of 97038 and 97047 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 97047

Prime factors of 97047 are 3, 41, 263. Prime factorization of 97047 in exponential form is:

97047 = 3² × 41¹ × 263¹

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 97047

List of positive integer factors of 97047 that divides 97038 without a remainder.

1, 3, 9, 41, 123, 263, 369, 789, 2367, 10783, 32349

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97038 and 97047. The biggest common factor number is the GCF number.
So the greatest common factor 97038 and 97047 is 9.

Also check out the Least Common Multiple of 97038 and 97047