What is the Greatest Common Factor of 22555 and 22568?

Greatest common factor (GCF) of 22555 and 22568 is 13.

GCF(22555,22568) = 13

We will now calculate the prime factors of 22555 and 22568, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22555 and 22568.

How to find the GCF of 22555 and 22568?

We will first find the prime factorization of 22555 and 22568. After we will calculate the factors of 22555 and 22568 and find the biggest common factor number .

Step-1: Prime Factorization of 22555

Prime factors of 22555 are 5, 13, 347. Prime factorization of 22555 in exponential form is:

22555 = 5¹ × 13¹ × 347¹

Step-2: Prime Factorization of 22568

Prime factors of 22568 are 2, 7, 13, 31. Prime factorization of 22568 in exponential form is:

22568 = 2³ × 7¹ × 13¹ × 31¹

Step-3: Factors of 22555

List of positive integer factors of 22555 that divides 22555 without a remainder.

1, 5, 13, 65, 347, 1735, 4511

Step-4: Factors of 22568

List of positive integer factors of 22568 that divides 22555 without a remainder.

1, 2, 4, 7, 8, 13, 14, 26, 28, 31, 52, 56, 62, 91, 104, 124, 182, 217, 248, 364, 403, 434, 728, 806, 868, 1612, 1736, 2821, 3224, 5642, 11284

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22555 and 22568. The biggest common factor number is the GCF number.
So the greatest common factor 22555 and 22568 is 13.

Also check out the Least Common Multiple of 22555 and 22568