What is the Greatest Common Factor of 12102 and 12114?

Greatest common factor (GCF) of 12102 and 12114 is 6.

GCF(12102,12114) = 6

We will now calculate the prime factors of 12102 and 12114, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12102 and 12114.

How to find the GCF of 12102 and 12114?

We will first find the prime factorization of 12102 and 12114. After we will calculate the factors of 12102 and 12114 and find the biggest common factor number .

Step-1: Prime Factorization of 12102

Prime factors of 12102 are 2, 3, 2017. Prime factorization of 12102 in exponential form is:

12102 = 2¹ × 3¹ × 2017¹

Step-2: Prime Factorization of 12114

Prime factors of 12114 are 2, 3, 673. Prime factorization of 12114 in exponential form is:

12114 = 2¹ × 3² × 673¹

Step-3: Factors of 12102

List of positive integer factors of 12102 that divides 12102 without a remainder.

1, 2, 3, 6, 2017, 4034, 6051

Step-4: Factors of 12114

List of positive integer factors of 12114 that divides 12102 without a remainder.

1, 2, 3, 6, 9, 18, 673, 1346, 2019, 4038, 6057

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12102 and 12114. The biggest common factor number is the GCF number.
So the greatest common factor 12102 and 12114 is 6.

Also check out the Least Common Multiple of 12102 and 12114