What is the Greatest Common Factor of 4485 and 4500?

Greatest common factor (GCF) of 4485 and 4500 is 15.

GCF(4485,4500) = 15

We will now calculate the prime factors of 4485 and 4500, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4485 and 4500.

How to find the GCF of 4485 and 4500?

We will first find the prime factorization of 4485 and 4500. After we will calculate the factors of 4485 and 4500 and find the biggest common factor number .

Step-1: Prime Factorization of 4485

Prime factors of 4485 are 3, 5, 13, 23. Prime factorization of 4485 in exponential form is:

4485 = 3¹ × 5¹ × 13¹ × 23¹

Step-2: 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-3: Factors of 4485

List of positive integer factors of 4485 that divides 4485 without a remainder.

1, 3, 5, 13, 15, 23, 39, 65, 69, 115, 195, 299, 345, 897, 1495

Step-4: Factors of 4500

List of positive integer factors of 4500 that divides 4485 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4485 and 4500. The biggest common factor number is the GCF number.
So the greatest common factor 4485 and 4500 is 15.

Also check out the Least Common Multiple of 4485 and 4500