What is the Greatest Common Factor of 6110 and 6120?

Greatest common factor (GCF) of 6110 and 6120 is 10.

GCF(6110,6120) = 10

We will now calculate the prime factors of 6110 and 6120, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6110 and 6120.

How to find the GCF of 6110 and 6120?

We will first find the prime factorization of 6110 and 6120. After we will calculate the factors of 6110 and 6120 and find the biggest common factor number .

Step-1: Prime Factorization of 6110

Prime factors of 6110 are 2, 5, 13, 47. Prime factorization of 6110 in exponential form is:

6110 = 2¹ × 5¹ × 13¹ × 47¹

Step-2: 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-3: Factors of 6110

List of positive integer factors of 6110 that divides 6110 without a remainder.

1, 2, 5, 10, 13, 26, 47, 65, 94, 130, 235, 470, 611, 1222, 3055

Step-4: Factors of 6120

List of positive integer factors of 6120 that divides 6110 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6110 and 6120. The biggest common factor number is the GCF number.
So the greatest common factor 6110 and 6120 is 10.

Also check out the Least Common Multiple of 6110 and 6120