What is the Greatest Common Factor of 6160 and 6171?

Greatest common factor (GCF) of 6160 and 6171 is 11.

GCF(6160,6171) = 11

We will now calculate the prime factors of 6160 and 6171, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6160 and 6171.

How to find the GCF of 6160 and 6171?

We will first find the prime factorization of 6160 and 6171. After we will calculate the factors of 6160 and 6171 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 6171

Prime factors of 6171 are 3, 11, 17. Prime factorization of 6171 in exponential form is:

6171 = 3¹ × 11² × 17¹

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 6171

List of positive integer factors of 6171 that divides 6160 without a remainder.

1, 3, 11, 17, 33, 51, 121, 187, 363, 561, 2057

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6160 and 6171. The biggest common factor number is the GCF number.
So the greatest common factor 6160 and 6171 is 11.

Also check out the Least Common Multiple of 6160 and 6171