What is the Greatest Common Factor of 4500 and 4518?

Greatest common factor (GCF) of 4500 and 4518 is 18.

GCF(4500,4518) = 18

We will now calculate the prime factors of 4500 and 4518, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4500 and 4518.

How to find the GCF of 4500 and 4518?

We will first find the prime factorization of 4500 and 4518. After we will calculate the factors of 4500 and 4518 and find the biggest common factor number .

Step-1: Prime Factorization of 4500

Prime factors of 4500 are 2, 3, 5. Prime factorization of 4500 in exponential form is:

4500 = 2² × 3² × 5³

Step-2: Prime Factorization of 4518

Prime factors of 4518 are 2, 3, 251. Prime factorization of 4518 in exponential form is:

4518 = 2¹ × 3² × 251¹

Step-3: Factors of 4500

List of positive integer factors of 4500 that divides 4500 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 125, 150, 180, 225, 250, 300, 375, 450, 500, 750, 900, 1125, 1500, 2250

Step-4: Factors of 4518

List of positive integer factors of 4518 that divides 4500 without a remainder.

1, 2, 3, 6, 9, 18, 251, 502, 753, 1506, 2259

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4500 and 4518. The biggest common factor number is the GCF number.
So the greatest common factor 4500 and 4518 is 18.

Also check out the Least Common Multiple of 4500 and 4518