What is the Greatest Common Factor of 6174 and 6194?

Greatest common factor (GCF) of 6174 and 6194 is 2.

GCF(6174,6194) = 2

We will now calculate the prime factors of 6174 and 6194, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6174 and 6194.

How to find the GCF of 6174 and 6194?

We will first find the prime factorization of 6174 and 6194. After we will calculate the factors of 6174 and 6194 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 6194

Prime factors of 6194 are 2, 19, 163. Prime factorization of 6194 in exponential form is:

6194 = 2¹ × 19¹ × 163¹

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 6194

List of positive integer factors of 6194 that divides 6174 without a remainder.

1, 2, 19, 38, 163, 326, 3097

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6174 and 6194. The biggest common factor number is the GCF number.
So the greatest common factor 6174 and 6194 is 2.

Also check out the Least Common Multiple of 6174 and 6194