What is the Greatest Common Factor of 12100 and 12110?

Greatest common factor (GCF) of 12100 and 12110 is 10.

GCF(12100,12110) = 10

We will now calculate the prime factors of 12100 and 12110, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12100 and 12110.

How to find the GCF of 12100 and 12110?

We will first find the prime factorization of 12100 and 12110. After we will calculate the factors of 12100 and 12110 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 12110

Prime factors of 12110 are 2, 5, 7, 173. Prime factorization of 12110 in exponential form is:

12110 = 2¹ × 5¹ × 7¹ × 173¹

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 12110

List of positive integer factors of 12110 that divides 12100 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 173, 346, 865, 1211, 1730, 2422, 6055

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12100 and 12110. The biggest common factor number is the GCF number.
So the greatest common factor 12100 and 12110 is 10.

Also check out the Least Common Multiple of 12100 and 12110