What is the Greatest Common Factor of 6120 and 6133?

Greatest common factor (GCF) of 6120 and 6133 is 1.

GCF(6120,6133) = 1

We will now calculate the prime factors of 6120 and 6133, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6120 and 6133.

How to find the GCF of 6120 and 6133?

We will first find the prime factorization of 6120 and 6133. After we will calculate the factors of 6120 and 6133 and find the biggest common factor number .

Step-1: Prime Factorization of 6120

Prime factors of 6120 are 2, 3, 5, 17. Prime factorization of 6120 in exponential form is:

6120 = 2³ × 3² × 5¹ × 17¹

Step-2: Prime Factorization of 6133

Prime factors of 6133 are 6133. Prime factorization of 6133 in exponential form is:

6133 = 6133¹

Step-3: Factors of 6120

List of positive integer factors of 6120 that divides 6120 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 17, 18, 20, 24, 30, 34, 36, 40, 45, 51, 60, 68, 72, 85, 90, 102, 120, 136, 153, 170, 180, 204, 255, 306, 340, 360, 408, 510, 612, 680, 765, 1020, 1224, 1530, 2040, 3060

Step-4: Factors of 6133

List of positive integer factors of 6133 that divides 6120 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6120 and 6133. The biggest common factor number is the GCF number.
So the greatest common factor 6120 and 6133 is 1.

Also check out the Least Common Multiple of 6120 and 6133