What is the Greatest Common Factor of 22100 and 22109?

Greatest common factor (GCF) of 22100 and 22109 is 1.

GCF(22100,22109) = 1

We will now calculate the prime factors of 22100 and 22109, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22100 and 22109.

How to find the GCF of 22100 and 22109?

We will first find the prime factorization of 22100 and 22109. After we will calculate the factors of 22100 and 22109 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 22109

Prime factors of 22109 are 22109. Prime factorization of 22109 in exponential form is:

22109 = 22109¹

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 22109

List of positive integer factors of 22109 that divides 22100 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22100 and 22109. The biggest common factor number is the GCF number.
So the greatest common factor 22100 and 22109 is 1.

Also check out the Least Common Multiple of 22100 and 22109