What is the Greatest Common Factor of 97561 and 97580?

Greatest common factor (GCF) of 97561 and 97580 is 1.

GCF(97561,97580) = 1

We will now calculate the prime factors of 97561 and 97580, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97561 and 97580.

How to find the GCF of 97561 and 97580?

We will first find the prime factorization of 97561 and 97580. After we will calculate the factors of 97561 and 97580 and find the biggest common factor number .

Step-1: Prime Factorization of 97561

Prime factors of 97561 are 97561. Prime factorization of 97561 in exponential form is:

97561 = 97561¹

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 97561

List of positive integer factors of 97561 that divides 97561 without a remainder.

Step-4: Factors of 97580

List of positive integer factors of 97580 that divides 97561 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 97561 and 97580. The biggest common factor number is the GCF number.
So the greatest common factor 97561 and 97580 is 1.

Also check out the Least Common Multiple of 97561 and 97580