What is the Greatest Common Factor of 4489 and 4508?

Greatest common factor (GCF) of 4489 and 4508 is 1.

GCF(4489,4508) = 1

We will now calculate the prime factors of 4489 and 4508, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4489 and 4508.

How to find the GCF of 4489 and 4508?

We will first find the prime factorization of 4489 and 4508. After we will calculate the factors of 4489 and 4508 and find the biggest common factor number .

Step-1: Prime Factorization of 4489

Prime factors of 4489 are 67. Prime factorization of 4489 in exponential form is:

4489 = 67²

Step-2: Prime Factorization of 4508

Prime factors of 4508 are 2, 7, 23. Prime factorization of 4508 in exponential form is:

4508 = 2² × 7² × 23¹

Step-3: Factors of 4489

List of positive integer factors of 4489 that divides 4489 without a remainder.

1, 67

Step-4: Factors of 4508

List of positive integer factors of 4508 that divides 4489 without a remainder.

1, 2, 4, 7, 14, 23, 28, 46, 49, 92, 98, 161, 196, 322, 644, 1127, 2254

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4489 and 4508. The biggest common factor number is the GCF number.
So the greatest common factor 4489 and 4508 is 1.

Also check out the Least Common Multiple of 4489 and 4508