What is the Greatest Common Factor of 97575 and 97590?

Greatest common factor (GCF) of 97575 and 97590 is 15.

GCF(97575,97590) = 15

We will now calculate the prime factors of 97575 and 97590, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97575 and 97590.

How to find the GCF of 97575 and 97590?

We will first find the prime factorization of 97575 and 97590. After we will calculate the factors of 97575 and 97590 and find the biggest common factor number .

Step-1: Prime Factorization of 97575

Prime factors of 97575 are 3, 5, 1301. Prime factorization of 97575 in exponential form is:

97575 = 3¹ × 5² × 1301¹

Step-2: 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-3: Factors of 97575

List of positive integer factors of 97575 that divides 97575 without a remainder.

1, 3, 5, 15, 25, 75, 1301, 3903, 6505, 19515, 32525

Step-4: Factors of 97590

List of positive integer factors of 97590 that divides 97575 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97575 and 97590. The biggest common factor number is the GCF number.
So the greatest common factor 97575 and 97590 is 15.

Also check out the Least Common Multiple of 97575 and 97590