What is the Greatest Common Factor of 7659 and 7671?

Greatest common factor (GCF) of 7659 and 7671 is 3.

GCF(7659,7671) = 3

We will now calculate the prime factors of 7659 and 7671, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7659 and 7671.

How to find the GCF of 7659 and 7671?

We will first find the prime factorization of 7659 and 7671. After we will calculate the factors of 7659 and 7671 and find the biggest common factor number .

Step-1: Prime Factorization of 7659

Prime factors of 7659 are 3, 23, 37. Prime factorization of 7659 in exponential form is:

7659 = 3² × 23¹ × 37¹

Step-2: Prime Factorization of 7671

Prime factors of 7671 are 3, 2557. Prime factorization of 7671 in exponential form is:

7671 = 3¹ × 2557¹

Step-3: Factors of 7659

List of positive integer factors of 7659 that divides 7659 without a remainder.

1, 3, 9, 23, 37, 69, 111, 207, 333, 851, 2553

Step-4: Factors of 7671

List of positive integer factors of 7671 that divides 7659 without a remainder.

1, 3, 2557

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7659 and 7671. The biggest common factor number is the GCF number.
So the greatest common factor 7659 and 7671 is 3.

Also check out the Least Common Multiple of 7659 and 7671