What is the Greatest Common Factor of 22100 and 22113?

Greatest common factor (GCF) of 22100 and 22113 is 13.

GCF(22100,22113) = 13

We will now calculate the prime factors of 22100 and 22113, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22100 and 22113.

How to find the GCF of 22100 and 22113?

We will first find the prime factorization of 22100 and 22113. After we will calculate the factors of 22100 and 22113 and find the biggest common factor number .

Step-1: Prime Factorization of 22100

Prime factors of 22100 are 2, 5, 13, 17. Prime factorization of 22100 in exponential form is:

22100 = 2² × 5² × 13¹ × 17¹

Step-2: 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-3: Factors of 22100

List of positive integer factors of 22100 that divides 22100 without a remainder.

1, 2, 4, 5, 10, 13, 17, 20, 25, 26, 34, 50, 52, 65, 68, 85, 100, 130, 170, 221, 260, 325, 340, 425, 442, 650, 850, 884, 1105, 1300, 1700, 2210, 4420, 5525, 11050

Step-4: Factors of 22113

List of positive integer factors of 22113 that divides 22100 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22100 and 22113. The biggest common factor number is the GCF number.
So the greatest common factor 22100 and 22113 is 13.

Also check out the Least Common Multiple of 22100 and 22113