What is the Greatest Common Factor of 6674 and 6686?

Greatest common factor (GCF) of 6674 and 6686 is 2.

GCF(6674,6686) = 2

We will now calculate the prime factors of 6674 and 6686, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6674 and 6686.

How to find the GCF of 6674 and 6686?

We will first find the prime factorization of 6674 and 6686. After we will calculate the factors of 6674 and 6686 and find the biggest common factor number .

Step-1: Prime Factorization of 6674

Prime factors of 6674 are 2, 47, 71. Prime factorization of 6674 in exponential form is:

6674 = 2¹ × 47¹ × 71¹

Step-2: Prime Factorization of 6686

Prime factors of 6686 are 2, 3343. Prime factorization of 6686 in exponential form is:

6686 = 2¹ × 3343¹

Step-3: Factors of 6674

List of positive integer factors of 6674 that divides 6674 without a remainder.

1, 2, 47, 71, 94, 142, 3337

Step-4: Factors of 6686

List of positive integer factors of 6686 that divides 6674 without a remainder.

1, 2, 3343

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6674 and 6686. The biggest common factor number is the GCF number.
So the greatest common factor 6674 and 6686 is 2.

Also check out the Least Common Multiple of 6674 and 6686