What is the Greatest Common Factor of 97025 and 97030?

Greatest common factor (GCF) of 97025 and 97030 is 5.

GCF(97025,97030) = 5

We will now calculate the prime factors of 97025 and 97030, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97025 and 97030.

How to find the GCF of 97025 and 97030?

We will first find the prime factorization of 97025 and 97030. After we will calculate the factors of 97025 and 97030 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 97030

Prime factors of 97030 are 2, 5, 31, 313. Prime factorization of 97030 in exponential form is:

97030 = 2¹ × 5¹ × 31¹ × 313¹

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 97030

List of positive integer factors of 97030 that divides 97025 without a remainder.

1, 2, 5, 10, 31, 62, 155, 310, 313, 626, 1565, 3130, 9703, 19406, 48515

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97025 and 97030. The biggest common factor number is the GCF number.
So the greatest common factor 97025 and 97030 is 5.

Also check out the Least Common Multiple of 97025 and 97030