What is the Greatest Common Factor of 2460 and 2475?

Greatest common factor (GCF) of 2460 and 2475 is 15.

GCF(2460,2475) = 15

We will now calculate the prime factors of 2460 and 2475, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2460 and 2475.

How to find the GCF of 2460 and 2475?

We will first find the prime factorization of 2460 and 2475. After we will calculate the factors of 2460 and 2475 and find the biggest common factor number .

Step-1: Prime Factorization of 2460

Prime factors of 2460 are 2, 3, 5, 41. Prime factorization of 2460 in exponential form is:

2460 = 2² × 3¹ × 5¹ × 41¹

Step-2: Prime Factorization of 2475

Prime factors of 2475 are 3, 5, 11. Prime factorization of 2475 in exponential form is:

2475 = 3² × 5² × 11¹

Step-3: Factors of 2460

List of positive integer factors of 2460 that divides 2460 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 41, 60, 82, 123, 164, 205, 246, 410, 492, 615, 820, 1230

Step-4: Factors of 2475

List of positive integer factors of 2475 that divides 2460 without a remainder.

1, 3, 5, 9, 11, 15, 25, 33, 45, 55, 75, 99, 165, 225, 275, 495, 825

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2460 and 2475. The biggest common factor number is the GCF number.
So the greatest common factor 2460 and 2475 is 15.

Also check out the Least Common Multiple of 2460 and 2475