What is the Greatest Common Factor of 97564 and 97580?

Greatest common factor (GCF) of 97564 and 97580 is 4.

GCF(97564,97580) = 4

We will now calculate the prime factors of 97564 and 97580, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97564 and 97580.

How to find the GCF of 97564 and 97580?

We will first find the prime factorization of 97564 and 97580. After we will calculate the factors of 97564 and 97580 and find the biggest common factor number .

Step-1: Prime Factorization of 97564

Prime factors of 97564 are 2, 24391. Prime factorization of 97564 in exponential form is:

97564 = 2² × 24391¹

Step-2: 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-3: Factors of 97564

List of positive integer factors of 97564 that divides 97564 without a remainder.

1, 2, 4, 24391, 48782

Step-4: Factors of 97580

List of positive integer factors of 97580 that divides 97564 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97564 and 97580. The biggest common factor number is the GCF number.
So the greatest common factor 97564 and 97580 is 4.

Also check out the Least Common Multiple of 97564 and 97580