What is the Greatest Common Factor of 22113 and 22126?

Greatest common factor (GCF) of 22113 and 22126 is 13.

GCF(22113,22126) = 13

We will now calculate the prime factors of 22113 and 22126, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22113 and 22126.

How to find the GCF of 22113 and 22126?

We will first find the prime factorization of 22113 and 22126. After we will calculate the factors of 22113 and 22126 and find the biggest common factor number .

Step-1: Prime Factorization of 22113

Prime factors of 22113 are 3, 7, 13. Prime factorization of 22113 in exponential form is:

22113 = 3⁵ × 7¹ × 13¹

Step-2: Prime Factorization of 22126

Prime factors of 22126 are 2, 13, 23, 37. Prime factorization of 22126 in exponential form is:

22126 = 2¹ × 13¹ × 23¹ × 37¹

Step-3: Factors of 22113

List of positive integer factors of 22113 that divides 22113 without a remainder.

1, 3, 7, 9, 13, 21, 27, 39, 63, 81, 91, 117, 189, 243, 273, 351, 567, 819, 1053, 1701, 2457, 3159, 7371

Step-4: Factors of 22126

List of positive integer factors of 22126 that divides 22113 without a remainder.

1, 2, 13, 23, 26, 37, 46, 74, 299, 481, 598, 851, 962, 1702, 11063

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22113 and 22126. The biggest common factor number is the GCF number.
So the greatest common factor 22113 and 22126 is 13.

Also check out the Least Common Multiple of 22113 and 22126