What is the Greatest Common Factor of 4500 and 4519?

Greatest common factor (GCF) of 4500 and 4519 is 1.

GCF(4500,4519) = 1

We will now calculate the prime factors of 4500 and 4519, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4500 and 4519.

How to find the GCF of 4500 and 4519?

We will first find the prime factorization of 4500 and 4519. After we will calculate the factors of 4500 and 4519 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 4519

Prime factors of 4519 are 4519. Prime factorization of 4519 in exponential form is:

4519 = 4519¹

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 4519

List of positive integer factors of 4519 that divides 4500 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4500 and 4519. The biggest common factor number is the GCF number.
So the greatest common factor 4500 and 4519 is 1.

Also check out the Least Common Multiple of 4500 and 4519