What is the Greatest Common Factor of 97025 and 97045?

Greatest common factor (GCF) of 97025 and 97045 is 5.

GCF(97025,97045) = 5

We will now calculate the prime factors of 97025 and 97045, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97025 and 97045.

How to find the GCF of 97025 and 97045?

We will first find the prime factorization of 97025 and 97045. After we will calculate the factors of 97025 and 97045 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 97045

Prime factors of 97045 are 5, 13, 1493. Prime factorization of 97045 in exponential form is:

97045 = 5¹ × 13¹ × 1493¹

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 97045

List of positive integer factors of 97045 that divides 97025 without a remainder.

1, 5, 13, 65, 1493, 7465, 19409

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97025 and 97045. The biggest common factor number is the GCF number.
So the greatest common factor 97025 and 97045 is 5.

Also check out the Least Common Multiple of 97025 and 97045