What is the Greatest Common Factor of 12100 and 12116?

Greatest common factor (GCF) of 12100 and 12116 is 4.

GCF(12100,12116) = 4

We will now calculate the prime factors of 12100 and 12116, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12100 and 12116.

How to find the GCF of 12100 and 12116?

We will first find the prime factorization of 12100 and 12116. After we will calculate the factors of 12100 and 12116 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 12116

Prime factors of 12116 are 2, 13, 233. Prime factorization of 12116 in exponential form is:

12116 = 2² × 13¹ × 233¹

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 12116

List of positive integer factors of 12116 that divides 12100 without a remainder.

1, 2, 4, 13, 26, 52, 233, 466, 932, 3029, 6058

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12100 and 12116. The biggest common factor number is the GCF number.
So the greatest common factor 12100 and 12116 is 4.

Also check out the Least Common Multiple of 12100 and 12116