What is the Greatest Common Factor of 2484 and 2496?

Greatest common factor (GCF) of 2484 and 2496 is 12.

GCF(2484,2496) = 12

We will now calculate the prime factors of 2484 and 2496, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2484 and 2496.

How to find the GCF of 2484 and 2496?

We will first find the prime factorization of 2484 and 2496. After we will calculate the factors of 2484 and 2496 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 2496

Prime factors of 2496 are 2, 3, 13. Prime factorization of 2496 in exponential form is:

2496 = 2⁶ × 3¹ × 13¹

Step-3: Factors of 2484

List of positive integer factors of 2484 that divides 2484 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

Step-4: Factors of 2496

List of positive integer factors of 2496 that divides 2484 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 32, 39, 48, 52, 64, 78, 96, 104, 156, 192, 208, 312, 416, 624, 832, 1248

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2484 and 2496. The biggest common factor number is the GCF number.
So the greatest common factor 2484 and 2496 is 12.

Also check out the Least Common Multiple of 2484 and 2496