What is the Greatest Common Factor of 12102 and 12120?

Greatest common factor (GCF) of 12102 and 12120 is 6.

GCF(12102,12120) = 6

We will now calculate the prime factors of 12102 and 12120, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12102 and 12120.

How to find the GCF of 12102 and 12120?

We will first find the prime factorization of 12102 and 12120. After we will calculate the factors of 12102 and 12120 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 12120

Prime factors of 12120 are 2, 3, 5, 101. Prime factorization of 12120 in exponential form is:

12120 = 2³ × 3¹ × 5¹ × 101¹

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 12120

List of positive integer factors of 12120 that divides 12102 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 101, 120, 202, 303, 404, 505, 606, 808, 1010, 1212, 1515, 2020, 2424, 3030, 4040, 6060

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12102 and 12120. The biggest common factor number is the GCF number.
So the greatest common factor 12102 and 12120 is 6.

Also check out the Least Common Multiple of 12102 and 12120