What is the Greatest Common Factor of 6160 and 6168?

Greatest common factor (GCF) of 6160 and 6168 is 8.

GCF(6160,6168) = 8

We will now calculate the prime factors of 6160 and 6168, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6160 and 6168.

How to find the GCF of 6160 and 6168?

We will first find the prime factorization of 6160 and 6168. After we will calculate the factors of 6160 and 6168 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 6168

Prime factors of 6168 are 2, 3, 257. Prime factorization of 6168 in exponential form is:

6168 = 2³ × 3¹ × 257¹

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 6168

List of positive integer factors of 6168 that divides 6160 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 257, 514, 771, 1028, 1542, 2056, 3084

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6160 and 6168. The biggest common factor number is the GCF number.
So the greatest common factor 6160 and 6168 is 8.

Also check out the Least Common Multiple of 6160 and 6168