What is the Greatest Common Factor of 6100 and 6110?

Greatest common factor (GCF) of 6100 and 6110 is 10.

GCF(6100,6110) = 10

We will now calculate the prime factors of 6100 and 6110, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6100 and 6110.

How to find the GCF of 6100 and 6110?

We will first find the prime factorization of 6100 and 6110. After we will calculate the factors of 6100 and 6110 and find the biggest common factor number .

Step-1: Prime Factorization of 6100

Prime factors of 6100 are 2, 5, 61. Prime factorization of 6100 in exponential form is:

6100 = 2² × 5² × 61¹

Step-2: 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-3: Factors of 6100

List of positive integer factors of 6100 that divides 6100 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 61, 100, 122, 244, 305, 610, 1220, 1525, 3050

Step-4: Factors of 6110

List of positive integer factors of 6110 that divides 6100 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6100 and 6110. The biggest common factor number is the GCF number.
So the greatest common factor 6100 and 6110 is 10.

Also check out the Least Common Multiple of 6100 and 6110