What is the Greatest Common Factor of 97565 and 97570?

Greatest common factor (GCF) of 97565 and 97570 is 5.

GCF(97565,97570) = 5

We will now calculate the prime factors of 97565 and 97570, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97565 and 97570.

How to find the GCF of 97565 and 97570?

We will first find the prime factorization of 97565 and 97570. After we will calculate the factors of 97565 and 97570 and find the biggest common factor number .

Step-1: Prime Factorization of 97565

Prime factors of 97565 are 5, 13, 19, 79. Prime factorization of 97565 in exponential form is:

97565 = 5¹ × 13¹ × 19¹ × 79¹

Step-2: Prime Factorization of 97570

Prime factors of 97570 are 2, 5, 11, 887. Prime factorization of 97570 in exponential form is:

97570 = 2¹ × 5¹ × 11¹ × 887¹

Step-3: Factors of 97565

List of positive integer factors of 97565 that divides 97565 without a remainder.

1, 5, 13, 19, 65, 79, 95, 247, 395, 1027, 1235, 1501, 5135, 7505, 19513

Step-4: Factors of 97570

List of positive integer factors of 97570 that divides 97565 without a remainder.

1, 2, 5, 10, 11, 22, 55, 110, 887, 1774, 4435, 8870, 9757, 19514, 48785

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97565 and 97570. The biggest common factor number is the GCF number.
So the greatest common factor 97565 and 97570 is 5.

Also check out the Least Common Multiple of 97565 and 97570