What is the Greatest Common Factor of 9553 and 9568?

Greatest common factor (GCF) of 9553 and 9568 is 1.

GCF(9553,9568) = 1

We will now calculate the prime factors of 9553 and 9568, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9553 and 9568.

How to find the GCF of 9553 and 9568?

We will first find the prime factorization of 9553 and 9568. After we will calculate the factors of 9553 and 9568 and find the biggest common factor number .

Step-1: Prime Factorization of 9553

Prime factors of 9553 are 41, 233. Prime factorization of 9553 in exponential form is:

9553 = 41¹ × 233¹

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 9553

List of positive integer factors of 9553 that divides 9553 without a remainder.

1, 41, 233

Step-4: Factors of 9568

List of positive integer factors of 9568 that divides 9553 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 9553 and 9568. The biggest common factor number is the GCF number.
So the greatest common factor 9553 and 9568 is 1.

Also check out the Least Common Multiple of 9553 and 9568