What is the Greatest Common Factor of 97025 and 97035?

Greatest common factor (GCF) of 97025 and 97035 is 5.

GCF(97025,97035) = 5

We will now calculate the prime factors of 97025 and 97035, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97025 and 97035.

How to find the GCF of 97025 and 97035?

We will first find the prime factorization of 97025 and 97035. After we will calculate the factors of 97025 and 97035 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 97035

Prime factors of 97035 are 3, 5, 6469. Prime factorization of 97035 in exponential form is:

97035 = 3¹ × 5¹ × 6469¹

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 97035

List of positive integer factors of 97035 that divides 97025 without a remainder.

1, 3, 5, 15, 6469, 19407, 32345

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97025 and 97035. The biggest common factor number is the GCF number.
So the greatest common factor 97025 and 97035 is 5.

Also check out the Least Common Multiple of 97025 and 97035