What is the Greatest Common Factor of 4576 and 4589?

Greatest common factor (GCF) of 4576 and 4589 is 13.

GCF(4576,4589) = 13

We will now calculate the prime factors of 4576 and 4589, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4576 and 4589.

How to find the GCF of 4576 and 4589?

We will first find the prime factorization of 4576 and 4589. After we will calculate the factors of 4576 and 4589 and find the biggest common factor number .

Step-1: Prime Factorization of 4576

Prime factors of 4576 are 2, 11, 13. Prime factorization of 4576 in exponential form is:

4576 = 2⁵ × 11¹ × 13¹

Step-2: Prime Factorization of 4589

Prime factors of 4589 are 13, 353. Prime factorization of 4589 in exponential form is:

4589 = 13¹ × 353¹

Step-3: Factors of 4576

List of positive integer factors of 4576 that divides 4576 without a remainder.

1, 2, 4, 8, 11, 13, 16, 22, 26, 32, 44, 52, 88, 104, 143, 176, 208, 286, 352, 416, 572, 1144, 2288

Step-4: Factors of 4589

List of positive integer factors of 4589 that divides 4576 without a remainder.

1, 13, 353

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4576 and 4589. The biggest common factor number is the GCF number.
So the greatest common factor 4576 and 4589 is 13.

Also check out the Least Common Multiple of 4576 and 4589