What is the Greatest Common Factor of 4569 and 4576?

Greatest common factor (GCF) of 4569 and 4576 is 1.

GCF(4569,4576) = 1

We will now calculate the prime factors of 4569 and 4576, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4569 and 4576.

How to find the GCF of 4569 and 4576?

We will first find the prime factorization of 4569 and 4576. After we will calculate the factors of 4569 and 4576 and find the biggest common factor number .

Step-1: Prime Factorization of 4569

Prime factors of 4569 are 3, 1523. Prime factorization of 4569 in exponential form is:

4569 = 3¹ × 1523¹

Step-2: 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-3: Factors of 4569

List of positive integer factors of 4569 that divides 4569 without a remainder.

1, 3, 1523

Step-4: Factors of 4576

List of positive integer factors of 4576 that divides 4569 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4569 and 4576. The biggest common factor number is the GCF number.
So the greatest common factor 4569 and 4576 is 1.

Also check out the Least Common Multiple of 4569 and 4576