What is the Greatest Common Factor of 4500 and 4511?

Greatest common factor (GCF) of 4500 and 4511 is 1.

GCF(4500,4511) = 1

We will now calculate the prime factors of 4500 and 4511, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4500 and 4511.

How to find the GCF of 4500 and 4511?

We will first find the prime factorization of 4500 and 4511. After we will calculate the factors of 4500 and 4511 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 4511

Prime factors of 4511 are 13, 347. Prime factorization of 4511 in exponential form is:

4511 = 13¹ × 347¹

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 4511

List of positive integer factors of 4511 that divides 4500 without a remainder.

1, 13, 347

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4500 and 4511. The biggest common factor number is the GCF number.
So the greatest common factor 4500 and 4511 is 1.

Also check out the Least Common Multiple of 4500 and 4511