What is the Greatest Common Factor of 4482 and 4491?

Greatest common factor (GCF) of 4482 and 4491 is 9.

GCF(4482,4491) = 9

We will now calculate the prime factors of 4482 and 4491, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4482 and 4491.

How to find the GCF of 4482 and 4491?

We will first find the prime factorization of 4482 and 4491. After we will calculate the factors of 4482 and 4491 and find the biggest common factor number .

Step-1: Prime Factorization of 4482

Prime factors of 4482 are 2, 3, 83. Prime factorization of 4482 in exponential form is:

4482 = 2¹ × 3³ × 83¹

Step-2: Prime Factorization of 4491

Prime factors of 4491 are 3, 499. Prime factorization of 4491 in exponential form is:

4491 = 3² × 499¹

Step-3: Factors of 4482

List of positive integer factors of 4482 that divides 4482 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 83, 166, 249, 498, 747, 1494, 2241

Step-4: Factors of 4491

List of positive integer factors of 4491 that divides 4482 without a remainder.

1, 3, 9, 499, 1497

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4482 and 4491. The biggest common factor number is the GCF number.
So the greatest common factor 4482 and 4491 is 9.

Also check out the Least Common Multiple of 4482 and 4491