What is the Greatest Common Factor of 97025 and 97037?

Greatest common factor (GCF) of 97025 and 97037 is 1.

GCF(97025,97037) = 1

We will now calculate the prime factors of 97025 and 97037, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97025 and 97037.

How to find the GCF of 97025 and 97037?

We will first find the prime factorization of 97025 and 97037. After we will calculate the factors of 97025 and 97037 and find the biggest common factor number .

Step-1: Prime Factorization of 97025

Prime factors of 97025 are 5, 3881. Prime factorization of 97025 in exponential form is:

97025 = 5² × 3881¹

Step-2: Prime Factorization of 97037

Prime factors of 97037 are 23, 4219. Prime factorization of 97037 in exponential form is:

97037 = 23¹ × 4219¹

Step-3: Factors of 97025

List of positive integer factors of 97025 that divides 97025 without a remainder.

1, 5, 25, 3881, 19405

Step-4: Factors of 97037

List of positive integer factors of 97037 that divides 97025 without a remainder.

1, 23, 4219

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97025 and 97037. The biggest common factor number is the GCF number.
So the greatest common factor 97025 and 97037 is 1.

Also check out the Least Common Multiple of 97025 and 97037