What is the Greatest Common Factor of 97580 and 97587?

Greatest common factor (GCF) of 97580 and 97587 is 7.

GCF(97580,97587) = 7

We will now calculate the prime factors of 97580 and 97587, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97580 and 97587.

How to find the GCF of 97580 and 97587?

We will first find the prime factorization of 97580 and 97587. After we will calculate the factors of 97580 and 97587 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 97587

Prime factors of 97587 are 3, 7, 1549. Prime factorization of 97587 in exponential form is:

97587 = 3² × 7¹ × 1549¹

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 97587

List of positive integer factors of 97587 that divides 97580 without a remainder.

1, 3, 7, 9, 21, 63, 1549, 4647, 10843, 13941, 32529

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97580 and 97587. The biggest common factor number is the GCF number.
So the greatest common factor 97580 and 97587 is 7.

Also check out the Least Common Multiple of 97580 and 97587