What is the Greatest Common Factor of 1485 and 1500?

Greatest common factor (GCF) of 1485 and 1500 is 15.

GCF(1485,1500) = 15

We will now calculate the prime factors of 1485 and 1500, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1485 and 1500.

How to find the GCF of 1485 and 1500?

We will first find the prime factorization of 1485 and 1500. After we will calculate the factors of 1485 and 1500 and find the biggest common factor number .

Step-1: Prime Factorization of 1485

Prime factors of 1485 are 3, 5, 11. Prime factorization of 1485 in exponential form is:

1485 = 3³ × 5¹ × 11¹

Step-2: Prime Factorization of 1500

Prime factors of 1500 are 2, 3, 5. Prime factorization of 1500 in exponential form is:

1500 = 2² × 3¹ × 5³

Step-3: Factors of 1485

List of positive integer factors of 1485 that divides 1485 without a remainder.

1, 3, 5, 9, 11, 15, 27, 33, 45, 55, 99, 135, 165, 297, 495

Step-4: Factors of 1500

List of positive integer factors of 1500 that divides 1485 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 125, 150, 250, 300, 375, 500, 750

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1485 and 1500. The biggest common factor number is the GCF number.
So the greatest common factor 1485 and 1500 is 15.

Also check out the Least Common Multiple of 1485 and 1500