What is the Greatest Common Factor of 6168 and 6174?

Greatest common factor (GCF) of 6168 and 6174 is 6.

GCF(6168,6174) = 6

We will now calculate the prime factors of 6168 and 6174, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6168 and 6174.

How to find the GCF of 6168 and 6174?

We will first find the prime factorization of 6168 and 6174. After we will calculate the factors of 6168 and 6174 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 6174

Prime factors of 6174 are 2, 3, 7. Prime factorization of 6174 in exponential form is:

6174 = 2¹ × 3² × 7³

Step-3: Factors of 6168

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

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

Step-4: Factors of 6174

List of positive integer factors of 6174 that divides 6168 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 343, 441, 686, 882, 1029, 2058, 3087

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6168 and 6174. The biggest common factor number is the GCF number.
So the greatest common factor 6168 and 6174 is 6.

Also check out the Least Common Multiple of 6168 and 6174