What is the Greatest Common Factor of 12100 and 12109?

Greatest common factor (GCF) of 12100 and 12109 is 1.

GCF(12100,12109) = 1

We will now calculate the prime factors of 12100 and 12109, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12100 and 12109.

How to find the GCF of 12100 and 12109?

We will first find the prime factorization of 12100 and 12109. After we will calculate the factors of 12100 and 12109 and find the biggest common factor number .

Step-1: Prime Factorization of 12100

Prime factors of 12100 are 2, 5, 11. Prime factorization of 12100 in exponential form is:

12100 = 2² × 5² × 11²

Step-2: Prime Factorization of 12109

Prime factors of 12109 are 12109. Prime factorization of 12109 in exponential form is:

12109 = 12109¹

Step-3: Factors of 12100

List of positive integer factors of 12100 that divides 12100 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 25, 44, 50, 55, 100, 110, 121, 220, 242, 275, 484, 550, 605, 1100, 1210, 2420, 3025, 6050

Step-4: Factors of 12109

List of positive integer factors of 12109 that divides 12100 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12100 and 12109. The biggest common factor number is the GCF number.
So the greatest common factor 12100 and 12109 is 1.

Also check out the Least Common Multiple of 12100 and 12109