What is the Greatest Common Factor of 12100 and 12117?

Greatest common factor (GCF) of 12100 and 12117 is 1.

GCF(12100,12117) = 1

We will now calculate the prime factors of 12100 and 12117, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12100 and 12117.

How to find the GCF of 12100 and 12117?

We will first find the prime factorization of 12100 and 12117. After we will calculate the factors of 12100 and 12117 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 12117

Prime factors of 12117 are 3, 7, 577. Prime factorization of 12117 in exponential form is:

12117 = 3¹ × 7¹ × 577¹

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 12117

List of positive integer factors of 12117 that divides 12100 without a remainder.

1, 3, 7, 21, 577, 1731, 4039

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12100 and 12117. The biggest common factor number is the GCF number.
So the greatest common factor 12100 and 12117 is 1.

Also check out the Least Common Multiple of 12100 and 12117