What is the Greatest Common Factor of 34647 and 34659?

Greatest common factor (GCF) of 34647 and 34659 is 3.

GCF(34647,34659) = 3

We will now calculate the prime factors of 34647 and 34659, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34647 and 34659.

How to find the GCF of 34647 and 34659?

We will first find the prime factorization of 34647 and 34659. After we will calculate the factors of 34647 and 34659 and find the biggest common factor number .

Step-1: Prime Factorization of 34647

Prime factors of 34647 are 3, 11549. Prime factorization of 34647 in exponential form is:

34647 = 3¹ × 11549¹

Step-2: Prime Factorization of 34659

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

34659 = 3² × 3851¹

Step-3: Factors of 34647

List of positive integer factors of 34647 that divides 34647 without a remainder.

1, 3, 11549

Step-4: Factors of 34659

List of positive integer factors of 34659 that divides 34647 without a remainder.

1, 3, 9, 3851, 11553

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34647 and 34659. The biggest common factor number is the GCF number.
So the greatest common factor 34647 and 34659 is 3.

Also check out the Least Common Multiple of 34647 and 34659