What is the Greatest Common Factor of 12100 and 12118?

Greatest common factor (GCF) of 12100 and 12118 is 2.

GCF(12100,12118) = 2

We will now calculate the prime factors of 12100 and 12118, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12100 and 12118.

How to find the GCF of 12100 and 12118?

We will first find the prime factorization of 12100 and 12118. After we will calculate the factors of 12100 and 12118 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 12118

Prime factors of 12118 are 2, 73, 83. Prime factorization of 12118 in exponential form is:

12118 = 2¹ × 73¹ × 83¹

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 12118

List of positive integer factors of 12118 that divides 12100 without a remainder.

1, 2, 73, 83, 146, 166, 6059

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12100 and 12118. The biggest common factor number is the GCF number.
So the greatest common factor 12100 and 12118 is 2.

Also check out the Least Common Multiple of 12100 and 12118