What is the Greatest Common Factor of 4554 and 4565?

Greatest common factor (GCF) of 4554 and 4565 is 11.

GCF(4554,4565) = 11

We will now calculate the prime factors of 4554 and 4565, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4554 and 4565.

How to find the GCF of 4554 and 4565?

We will first find the prime factorization of 4554 and 4565. After we will calculate the factors of 4554 and 4565 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 4565

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

4565 = 5¹ × 11¹ × 83¹

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 4565

List of positive integer factors of 4565 that divides 4554 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4554 and 4565. The biggest common factor number is the GCF number.
So the greatest common factor 4554 and 4565 is 11.

Also check out the Least Common Multiple of 4554 and 4565