What is the Greatest Common Factor of 4500 and 4505?

Greatest common factor (GCF) of 4500 and 4505 is 5.

GCF(4500,4505) = 5

We will now calculate the prime factors of 4500 and 4505, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4500 and 4505.

How to find the GCF of 4500 and 4505?

We will first find the prime factorization of 4500 and 4505. After we will calculate the factors of 4500 and 4505 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 4505

Prime factors of 4505 are 5, 17, 53. Prime factorization of 4505 in exponential form is:

4505 = 5¹ × 17¹ × 53¹

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 4505

List of positive integer factors of 4505 that divides 4500 without a remainder.

1, 5, 17, 53, 85, 265, 901

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4500 and 4505. The biggest common factor number is the GCF number.
So the greatest common factor 4500 and 4505 is 5.

Also check out the Least Common Multiple of 4500 and 4505