What is the Greatest Common Factor of 4455 and 4466?

Greatest common factor (GCF) of 4455 and 4466 is 11.

GCF(4455,4466) = 11

We will now calculate the prime factors of 4455 and 4466, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4455 and 4466.

How to find the GCF of 4455 and 4466?

We will first find the prime factorization of 4455 and 4466. After we will calculate the factors of 4455 and 4466 and find the biggest common factor number .

Step-1: Prime Factorization of 4455

Prime factors of 4455 are 3, 5, 11. Prime factorization of 4455 in exponential form is:

4455 = 3⁴ × 5¹ × 11¹

Step-2: Prime Factorization of 4466

Prime factors of 4466 are 2, 7, 11, 29. Prime factorization of 4466 in exponential form is:

4466 = 2¹ × 7¹ × 11¹ × 29¹

Step-3: Factors of 4455

List of positive integer factors of 4455 that divides 4455 without a remainder.

1, 3, 5, 9, 11, 15, 27, 33, 45, 55, 81, 99, 135, 165, 297, 405, 495, 891, 1485

Step-4: Factors of 4466

List of positive integer factors of 4466 that divides 4455 without a remainder.

1, 2, 7, 11, 14, 22, 29, 58, 77, 154, 203, 319, 406, 638, 2233

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4455 and 4466. The biggest common factor number is the GCF number.
So the greatest common factor 4455 and 4466 is 11.

Also check out the Least Common Multiple of 4455 and 4466