What is the Greatest Common Factor of 34659 and 34674?

Greatest common factor (GCF) of 34659 and 34674 is 3.

GCF(34659,34674) = 3

We will now calculate the prime factors of 34659 and 34674, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34659 and 34674.

How to find the GCF of 34659 and 34674?

We will first find the prime factorization of 34659 and 34674. After we will calculate the factors of 34659 and 34674 and find the biggest common factor number .

Step-1: Prime Factorization of 34659

Prime factors of 34659 are 3, 3851. Prime factorization of 34659 in exponential form is:

34659 = 3² × 3851¹

Step-2: Prime Factorization of 34674

Prime factors of 34674 are 2, 3, 5779. Prime factorization of 34674 in exponential form is:

34674 = 2¹ × 3¹ × 5779¹

Step-3: Factors of 34659

List of positive integer factors of 34659 that divides 34659 without a remainder.

1, 3, 9, 3851, 11553

Step-4: Factors of 34674

List of positive integer factors of 34674 that divides 34659 without a remainder.

1, 2, 3, 6, 5779, 11558, 17337

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34659 and 34674. The biggest common factor number is the GCF number.
So the greatest common factor 34659 and 34674 is 3.

Also check out the Least Common Multiple of 34659 and 34674