What is the Greatest Common Factor of 6160 and 6166?

Greatest common factor (GCF) of 6160 and 6166 is 2.

GCF(6160,6166) = 2

We will now calculate the prime factors of 6160 and 6166, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6160 and 6166.

How to find the GCF of 6160 and 6166?

We will first find the prime factorization of 6160 and 6166. After we will calculate the factors of 6160 and 6166 and find the biggest common factor number .

Step-1: Prime Factorization of 6160

Prime factors of 6160 are 2, 5, 7, 11. Prime factorization of 6160 in exponential form is:

6160 = 2⁴ × 5¹ × 7¹ × 11¹

Step-2: Prime Factorization of 6166

Prime factors of 6166 are 2, 3083. Prime factorization of 6166 in exponential form is:

6166 = 2¹ × 3083¹

Step-3: Factors of 6160

List of positive integer factors of 6160 that divides 6160 without a remainder.

1, 2, 4, 5, 7, 8, 10, 11, 14, 16, 20, 22, 28, 35, 40, 44, 55, 56, 70, 77, 80, 88, 110, 112, 140, 154, 176, 220, 280, 308, 385, 440, 560, 616, 770, 880, 1232, 1540, 3080

Step-4: Factors of 6166

List of positive integer factors of 6166 that divides 6160 without a remainder.

1, 2, 3083

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6160 and 6166. The biggest common factor number is the GCF number.
So the greatest common factor 6160 and 6166 is 2.

Also check out the Least Common Multiple of 6160 and 6166