What is the Greatest Common Factor of 97580 and 97585?

Greatest common factor (GCF) of 97580 and 97585 is 5.

GCF(97580,97585) = 5

We will now calculate the prime factors of 97580 and 97585, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97580 and 97585.

How to find the GCF of 97580 and 97585?

We will first find the prime factorization of 97580 and 97585. After we will calculate the factors of 97580 and 97585 and find the biggest common factor number .

Step-1: Prime Factorization of 97580

Prime factors of 97580 are 2, 5, 7, 17, 41. Prime factorization of 97580 in exponential form is:

97580 = 2² × 5¹ × 7¹ × 17¹ × 41¹

Step-2: Prime Factorization of 97585

Prime factors of 97585 are 5, 29, 673. Prime factorization of 97585 in exponential form is:

97585 = 5¹ × 29¹ × 673¹

Step-3: Factors of 97580

List of positive integer factors of 97580 that divides 97580 without a remainder.

1, 2, 4, 5, 7, 10, 14, 17, 20, 28, 34, 35, 41, 68, 70, 82, 85, 119, 140, 164, 170, 205, 238, 287, 340, 410, 476, 574, 595, 697, 820, 1148, 1190, 1394, 1435, 2380, 2788, 2870, 3485, 4879, 5740, 6970, 9758, 13940, 19516, 24395, 48790

Step-4: Factors of 97585

List of positive integer factors of 97585 that divides 97580 without a remainder.

1, 5, 29, 145, 673, 3365, 19517

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97580 and 97585. The biggest common factor number is the GCF number.
So the greatest common factor 97580 and 97585 is 5.

Also check out the Least Common Multiple of 97580 and 97585