What is the Greatest Common Factor of 22256 and 22269?

Greatest common factor (GCF) of 22256 and 22269 is 13.

GCF(22256,22269) = 13

We will now calculate the prime factors of 22256 and 22269, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22256 and 22269.

How to find the GCF of 22256 and 22269?

We will first find the prime factorization of 22256 and 22269. After we will calculate the factors of 22256 and 22269 and find the biggest common factor number .

Step-1: Prime Factorization of 22256

Prime factors of 22256 are 2, 13, 107. Prime factorization of 22256 in exponential form is:

22256 = 2⁴ × 13¹ × 107¹

Step-2: Prime Factorization of 22269

Prime factors of 22269 are 3, 13, 571. Prime factorization of 22269 in exponential form is:

22269 = 3¹ × 13¹ × 571¹

Step-3: Factors of 22256

List of positive integer factors of 22256 that divides 22256 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 107, 208, 214, 428, 856, 1391, 1712, 2782, 5564, 11128

Step-4: Factors of 22269

List of positive integer factors of 22269 that divides 22256 without a remainder.

1, 3, 13, 39, 571, 1713, 7423

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22256 and 22269. The biggest common factor number is the GCF number.
So the greatest common factor 22256 and 22269 is 13.

Also check out the Least Common Multiple of 22256 and 22269