What is the Greatest Common Factor of 4674 and 4686?

Greatest common factor (GCF) of 4674 and 4686 is 6.

GCF(4674,4686) = 6

We will now calculate the prime factors of 4674 and 4686, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4674 and 4686.

How to find the GCF of 4674 and 4686?

We will first find the prime factorization of 4674 and 4686. After we will calculate the factors of 4674 and 4686 and find the biggest common factor number .

Step-1: Prime Factorization of 4674

Prime factors of 4674 are 2, 3, 19, 41. Prime factorization of 4674 in exponential form is:

4674 = 2¹ × 3¹ × 19¹ × 41¹

Step-2: Prime Factorization of 4686

Prime factors of 4686 are 2, 3, 11, 71. Prime factorization of 4686 in exponential form is:

4686 = 2¹ × 3¹ × 11¹ × 71¹

Step-3: Factors of 4674

List of positive integer factors of 4674 that divides 4674 without a remainder.

1, 2, 3, 6, 19, 38, 41, 57, 82, 114, 123, 246, 779, 1558, 2337

Step-4: Factors of 4686

List of positive integer factors of 4686 that divides 4674 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 71, 142, 213, 426, 781, 1562, 2343

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4674 and 4686. The biggest common factor number is the GCF number.
So the greatest common factor 4674 and 4686 is 6.

Also check out the Least Common Multiple of 4674 and 4686