What is the Greatest Common Factor of 2487 and 2496?

Greatest common factor (GCF) of 2487 and 2496 is 3.

GCF(2487,2496) = 3

We will now calculate the prime factors of 2487 and 2496, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2487 and 2496.

How to find the GCF of 2487 and 2496?

We will first find the prime factorization of 2487 and 2496. After we will calculate the factors of 2487 and 2496 and find the biggest common factor number .

Step-1: Prime Factorization of 2487

Prime factors of 2487 are 3, 829. Prime factorization of 2487 in exponential form is:

2487 = 3¹ × 829¹

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 2487

List of positive integer factors of 2487 that divides 2487 without a remainder.

1, 3, 829

Step-4: Factors of 2496

List of positive integer factors of 2496 that divides 2487 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 2487 and 2496. The biggest common factor number is the GCF number.
So the greatest common factor 2487 and 2496 is 3.

Also check out the Least Common Multiple of 2487 and 2496