What is the Greatest Common Factor of 9555 and 9568?

Greatest common factor (GCF) of 9555 and 9568 is 13.

GCF(9555,9568) = 13

We will now calculate the prime factors of 9555 and 9568, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9555 and 9568.

How to find the GCF of 9555 and 9568?

We will first find the prime factorization of 9555 and 9568. After we will calculate the factors of 9555 and 9568 and find the biggest common factor number .

Step-1: Prime Factorization of 9555

Prime factors of 9555 are 3, 5, 7, 13. Prime factorization of 9555 in exponential form is:

9555 = 3¹ × 5¹ × 7² × 13¹

Step-2: Prime Factorization of 9568

Prime factors of 9568 are 2, 13, 23. Prime factorization of 9568 in exponential form is:

9568 = 2⁵ × 13¹ × 23¹

Step-3: Factors of 9555

List of positive integer factors of 9555 that divides 9555 without a remainder.

1, 3, 5, 7, 13, 15, 21, 35, 39, 49, 65, 91, 105, 147, 195, 245, 273, 455, 637, 735, 1365, 1911, 3185

Step-4: Factors of 9568

List of positive integer factors of 9568 that divides 9555 without a remainder.

1, 2, 4, 8, 13, 16, 23, 26, 32, 46, 52, 92, 104, 184, 208, 299, 368, 416, 598, 736, 1196, 2392, 4784

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9555 and 9568. The biggest common factor number is the GCF number.
So the greatest common factor 9555 and 9568 is 13.

Also check out the Least Common Multiple of 9555 and 9568