What is the Greatest Common Factor of 4500 and 4507?

Greatest common factor (GCF) of 4500 and 4507 is 1.

GCF(4500,4507) = 1

We will now calculate the prime factors of 4500 and 4507, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4500 and 4507.

How to find the GCF of 4500 and 4507?

We will first find the prime factorization of 4500 and 4507. After we will calculate the factors of 4500 and 4507 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 4507

Prime factors of 4507 are 4507. Prime factorization of 4507 in exponential form is:

4507 = 4507¹

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 4507

List of positive integer factors of 4507 that divides 4500 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4500 and 4507. The biggest common factor number is the GCF number.
So the greatest common factor 4500 and 4507 is 1.

Also check out the Least Common Multiple of 4500 and 4507