What is the Greatest Common Factor of 4500 and 4510?

Greatest common factor (GCF) of 4500 and 4510 is 10.

GCF(4500,4510) = 10

We will now calculate the prime factors of 4500 and 4510, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4500 and 4510.

How to find the GCF of 4500 and 4510?

We will first find the prime factorization of 4500 and 4510. After we will calculate the factors of 4500 and 4510 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 4510

Prime factors of 4510 are 2, 5, 11, 41. Prime factorization of 4510 in exponential form is:

4510 = 2¹ × 5¹ × 11¹ × 41¹

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 4510

List of positive integer factors of 4510 that divides 4500 without a remainder.

1, 2, 5, 10, 11, 22, 41, 55, 82, 110, 205, 410, 451, 902, 2255

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4500 and 4510. The biggest common factor number is the GCF number.
So the greatest common factor 4500 and 4510 is 10.

Also check out the Least Common Multiple of 4500 and 4510