What is the Greatest Common Factor of 97590 and 97605?

Greatest common factor (GCF) of 97590 and 97605 is 15.

GCF(97590,97605) = 15

We will now calculate the prime factors of 97590 and 97605, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97590 and 97605.

How to find the GCF of 97590 and 97605?

We will first find the prime factorization of 97590 and 97605. After we will calculate the factors of 97590 and 97605 and find the biggest common factor number .

Step-1: Prime Factorization of 97590

Prime factors of 97590 are 2, 3, 5, 3253. Prime factorization of 97590 in exponential form is:

97590 = 2¹ × 3¹ × 5¹ × 3253¹

Step-2: Prime Factorization of 97605

Prime factors of 97605 are 3, 5, 241. Prime factorization of 97605 in exponential form is:

97605 = 3⁴ × 5¹ × 241¹

Step-3: Factors of 97590

List of positive integer factors of 97590 that divides 97590 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 3253, 6506, 9759, 16265, 19518, 32530, 48795

Step-4: Factors of 97605

List of positive integer factors of 97605 that divides 97590 without a remainder.

1, 3, 5, 9, 15, 27, 45, 81, 135, 241, 405, 723, 1205, 2169, 3615, 6507, 10845, 19521, 32535

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97590 and 97605. The biggest common factor number is the GCF number.
So the greatest common factor 97590 and 97605 is 15.

Also check out the Least Common Multiple of 97590 and 97605