What is the Greatest Common Factor of 97265 and 97270?

Greatest common factor (GCF) of 97265 and 97270 is 5.

GCF(97265,97270) = 5

We will now calculate the prime factors of 97265 and 97270, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97265 and 97270.

How to find the GCF of 97265 and 97270?

We will first find the prime factorization of 97265 and 97270. After we will calculate the factors of 97265 and 97270 and find the biggest common factor number .

Step-1: Prime Factorization of 97265

Prime factors of 97265 are 5, 7, 397. Prime factorization of 97265 in exponential form is:

97265 = 5¹ × 7² × 397¹

Step-2: Prime Factorization of 97270

Prime factors of 97270 are 2, 5, 71, 137. Prime factorization of 97270 in exponential form is:

97270 = 2¹ × 5¹ × 71¹ × 137¹

Step-3: Factors of 97265

List of positive integer factors of 97265 that divides 97265 without a remainder.

1, 5, 7, 35, 49, 245, 397, 1985, 2779, 13895, 19453

Step-4: Factors of 97270

List of positive integer factors of 97270 that divides 97265 without a remainder.

1, 2, 5, 10, 71, 137, 142, 274, 355, 685, 710, 1370, 9727, 19454, 48635

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97265 and 97270. The biggest common factor number is the GCF number.
So the greatest common factor 97265 and 97270 is 5.

Also check out the Least Common Multiple of 97265 and 97270