What is the Greatest Common Factor of 4671 and 4689?

Greatest common factor (GCF) of 4671 and 4689 is 9.

GCF(4671,4689) = 9

We will now calculate the prime factors of 4671 and 4689, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4671 and 4689.

How to find the GCF of 4671 and 4689?

We will first find the prime factorization of 4671 and 4689. After we will calculate the factors of 4671 and 4689 and find the biggest common factor number .

Step-1: Prime Factorization of 4671

Prime factors of 4671 are 3, 173. Prime factorization of 4671 in exponential form is:

4671 = 3³ × 173¹

Step-2: Prime Factorization of 4689

Prime factors of 4689 are 3, 521. Prime factorization of 4689 in exponential form is:

4689 = 3² × 521¹

Step-3: Factors of 4671

List of positive integer factors of 4671 that divides 4671 without a remainder.

1, 3, 9, 27, 173, 519, 1557

Step-4: Factors of 4689

List of positive integer factors of 4689 that divides 4671 without a remainder.

1, 3, 9, 521, 1563

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4671 and 4689. The biggest common factor number is the GCF number.
So the greatest common factor 4671 and 4689 is 9.

Also check out the Least Common Multiple of 4671 and 4689