What is the Greatest Common Factor of 22243 and 22256?

Greatest common factor (GCF) of 22243 and 22256 is 13.

GCF(22243,22256) = 13

We will now calculate the prime factors of 22243 and 22256, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22243 and 22256.

How to find the GCF of 22243 and 22256?

We will first find the prime factorization of 22243 and 22256. After we will calculate the factors of 22243 and 22256 and find the biggest common factor number .

Step-1: Prime Factorization of 22243

Prime factors of 22243 are 13, 29, 59. Prime factorization of 22243 in exponential form is:

22243 = 13¹ × 29¹ × 59¹

Step-2: 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-3: Factors of 22243

List of positive integer factors of 22243 that divides 22243 without a remainder.

1, 13, 29, 59, 377, 767, 1711

Step-4: Factors of 22256

List of positive integer factors of 22256 that divides 22243 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22243 and 22256. The biggest common factor number is the GCF number.
So the greatest common factor 22243 and 22256 is 13.

Also check out the Least Common Multiple of 22243 and 22256