What is the Greatest Common Factor of 4498 and 4509?

Greatest common factor (GCF) of 4498 and 4509 is 1.

GCF(4498,4509) = 1

We will now calculate the prime factors of 4498 and 4509, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4498 and 4509.

How to find the GCF of 4498 and 4509?

We will first find the prime factorization of 4498 and 4509. After we will calculate the factors of 4498 and 4509 and find the biggest common factor number .

Step-1: Prime Factorization of 4498

Prime factors of 4498 are 2, 13, 173. Prime factorization of 4498 in exponential form is:

4498 = 2¹ × 13¹ × 173¹

Step-2: Prime Factorization of 4509

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

4509 = 3³ × 167¹

Step-3: Factors of 4498

List of positive integer factors of 4498 that divides 4498 without a remainder.

1, 2, 13, 26, 173, 346, 2249

Step-4: Factors of 4509

List of positive integer factors of 4509 that divides 4498 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4498 and 4509. The biggest common factor number is the GCF number.
So the greatest common factor 4498 and 4509 is 1.

Also check out the Least Common Multiple of 4498 and 4509