What is the Greatest Common Factor of 4565 and 4576?

Greatest common factor (GCF) of 4565 and 4576 is 11.

GCF(4565,4576) = 11

We will now calculate the prime factors of 4565 and 4576, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4565 and 4576.

How to find the GCF of 4565 and 4576?

We will first find the prime factorization of 4565 and 4576. After we will calculate the factors of 4565 and 4576 and find the biggest common factor number .

Step-1: Prime Factorization of 4565

Prime factors of 4565 are 5, 11, 83. Prime factorization of 4565 in exponential form is:

4565 = 5¹ × 11¹ × 83¹

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 4565

List of positive integer factors of 4565 that divides 4565 without a remainder.

1, 5, 11, 55, 83, 415, 913

Step-4: Factors of 4576

List of positive integer factors of 4576 that divides 4565 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 4565 and 4576. The biggest common factor number is the GCF number.
So the greatest common factor 4565 and 4576 is 11.

Also check out the Least Common Multiple of 4565 and 4576