What is the Greatest Common Factor of 2475 and 2484?

Greatest common factor (GCF) of 2475 and 2484 is 9.

GCF(2475,2484) = 9

We will now calculate the prime factors of 2475 and 2484, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2475 and 2484.

How to find the GCF of 2475 and 2484?

We will first find the prime factorization of 2475 and 2484. After we will calculate the factors of 2475 and 2484 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 2484

Prime factors of 2484 are 2, 3, 23. Prime factorization of 2484 in exponential form is:

2484 = 2² × 3³ × 23¹

Step-3: Factors of 2475

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

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

Step-4: Factors of 2484

List of positive integer factors of 2484 that divides 2475 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 23, 27, 36, 46, 54, 69, 92, 108, 138, 207, 276, 414, 621, 828, 1242

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2475 and 2484. The biggest common factor number is the GCF number.
So the greatest common factor 2475 and 2484 is 9.

Also check out the Least Common Multiple of 2475 and 2484