What is the Greatest Common Factor of 4554 and 4569?

Greatest common factor (GCF) of 4554 and 4569 is 3.

GCF(4554,4569) = 3

We will now calculate the prime factors of 4554 and 4569, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4554 and 4569.

How to find the GCF of 4554 and 4569?

We will first find the prime factorization of 4554 and 4569. After we will calculate the factors of 4554 and 4569 and find the biggest common factor number .

Step-1: Prime Factorization of 4554

Prime factors of 4554 are 2, 3, 11, 23. Prime factorization of 4554 in exponential form is:

4554 = 2¹ × 3² × 11¹ × 23¹

Step-2: Prime Factorization of 4569

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

4569 = 3¹ × 1523¹

Step-3: Factors of 4554

List of positive integer factors of 4554 that divides 4554 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 23, 33, 46, 66, 69, 99, 138, 198, 207, 253, 414, 506, 759, 1518, 2277

Step-4: Factors of 4569

List of positive integer factors of 4569 that divides 4554 without a remainder.

1, 3, 1523

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4554 and 4569. The biggest common factor number is the GCF number.
So the greatest common factor 4554 and 4569 is 3.

Also check out the Least Common Multiple of 4554 and 4569