What is the Greatest Common Factor of 4509 and 4527?

Greatest common factor (GCF) of 4509 and 4527 is 9.

GCF(4509,4527) = 9

We will now calculate the prime factors of 4509 and 4527, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4509 and 4527.

How to find the GCF of 4509 and 4527?

We will first find the prime factorization of 4509 and 4527. After we will calculate the factors of 4509 and 4527 and find the biggest common factor number .

Step-1: Prime Factorization of 4509

Prime factors of 4509 are 3, 167. Prime factorization of 4509 in exponential form is:

4509 = 3³ × 167¹

Step-2: Prime Factorization of 4527

Prime factors of 4527 are 3, 503. Prime factorization of 4527 in exponential form is:

4527 = 3² × 503¹

Step-3: Factors of 4509

List of positive integer factors of 4509 that divides 4509 without a remainder.

1, 3, 9, 27, 167, 501, 1503

Step-4: Factors of 4527

List of positive integer factors of 4527 that divides 4509 without a remainder.

1, 3, 9, 503, 1509

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4509 and 4527. The biggest common factor number is the GCF number.
So the greatest common factor 4509 and 4527 is 9.

Also check out the Least Common Multiple of 4509 and 4527