What is the Greatest Common Factor of 4500 and 4516?

Greatest common factor (GCF) of 4500 and 4516 is 4.

GCF(4500,4516) = 4

We will now calculate the prime factors of 4500 and 4516, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4500 and 4516.

How to find the GCF of 4500 and 4516?

We will first find the prime factorization of 4500 and 4516. After we will calculate the factors of 4500 and 4516 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 4516

Prime factors of 4516 are 2, 1129. Prime factorization of 4516 in exponential form is:

4516 = 2² × 1129¹

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 4516

List of positive integer factors of 4516 that divides 4500 without a remainder.

1, 2, 4, 1129, 2258

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4500 and 4516. The biggest common factor number is the GCF number.
So the greatest common factor 4500 and 4516 is 4.

Also check out the Least Common Multiple of 4500 and 4516