What is the Greatest Common Factor of 6174 and 6187?

Greatest common factor (GCF) of 6174 and 6187 is 1.

GCF(6174,6187) = 1

We will now calculate the prime factors of 6174 and 6187, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6174 and 6187.

How to find the GCF of 6174 and 6187?

We will first find the prime factorization of 6174 and 6187. After we will calculate the factors of 6174 and 6187 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 6187

Prime factors of 6187 are 23, 269. Prime factorization of 6187 in exponential form is:

6187 = 23¹ × 269¹

Step-3: Factors of 6174

List of positive integer factors of 6174 that divides 6174 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

Step-4: Factors of 6187

List of positive integer factors of 6187 that divides 6174 without a remainder.

1, 23, 269

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6174 and 6187. The biggest common factor number is the GCF number.
So the greatest common factor 6174 and 6187 is 1.

Also check out the Least Common Multiple of 6174 and 6187