What is the Greatest Common Factor of 4491 and 4506?

Greatest common factor (GCF) of 4491 and 4506 is 3.

GCF(4491,4506) = 3

We will now calculate the prime factors of 4491 and 4506, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4491 and 4506.

How to find the GCF of 4491 and 4506?

We will first find the prime factorization of 4491 and 4506. After we will calculate the factors of 4491 and 4506 and find the biggest common factor number .

Step-1: Prime Factorization of 4491

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

4491 = 3² × 499¹

Step-2: Prime Factorization of 4506

Prime factors of 4506 are 2, 3, 751. Prime factorization of 4506 in exponential form is:

4506 = 2¹ × 3¹ × 751¹

Step-3: Factors of 4491

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

1, 3, 9, 499, 1497

Step-4: Factors of 4506

List of positive integer factors of 4506 that divides 4491 without a remainder.

1, 2, 3, 6, 751, 1502, 2253

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4491 and 4506. The biggest common factor number is the GCF number.
So the greatest common factor 4491 and 4506 is 3.

Also check out the Least Common Multiple of 4491 and 4506