What is the Greatest Common Factor of 12120 and 12140?

Greatest common factor (GCF) of 12120 and 12140 is 20.

GCF(12120,12140) = 20

We will now calculate the prime factors of 12120 and 12140, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12120 and 12140.

How to find the GCF of 12120 and 12140?

We will first find the prime factorization of 12120 and 12140. After we will calculate the factors of 12120 and 12140 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 12140

Prime factors of 12140 are 2, 5, 607. Prime factorization of 12140 in exponential form is:

12140 = 2² × 5¹ × 607¹

Step-3: Factors of 12120

List of positive integer factors of 12120 that divides 12120 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

Step-4: Factors of 12140

List of positive integer factors of 12140 that divides 12120 without a remainder.

1, 2, 4, 5, 10, 20, 607, 1214, 2428, 3035, 6070

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12120 and 12140. The biggest common factor number is the GCF number.
So the greatest common factor 12120 and 12140 is 20.

Also check out the Least Common Multiple of 12120 and 12140