What is the Greatest Common Factor of 12480 and 12493?

Greatest common factor (GCF) of 12480 and 12493 is 13.

GCF(12480,12493) = 13

We will now calculate the prime factors of 12480 and 12493, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12480 and 12493.

How to find the GCF of 12480 and 12493?

We will first find the prime factorization of 12480 and 12493. After we will calculate the factors of 12480 and 12493 and find the biggest common factor number .

Step-1: Prime Factorization of 12480

Prime factors of 12480 are 2, 3, 5, 13. Prime factorization of 12480 in exponential form is:

12480 = 2⁶ × 3¹ × 5¹ × 13¹

Step-2: Prime Factorization of 12493

Prime factors of 12493 are 13, 31. Prime factorization of 12493 in exponential form is:

12493 = 13¹ × 31²

Step-3: Factors of 12480

List of positive integer factors of 12480 that divides 12480 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 13, 15, 16, 20, 24, 26, 30, 32, 39, 40, 48, 52, 60, 64, 65, 78, 80, 96, 104, 120, 130, 156, 160, 192, 195, 208, 240, 260, 312, 320, 390, 416, 480, 520, 624, 780, 832, 960, 1040, 1248, 1560, 2080, 2496, 3120, 4160, 6240

Step-4: Factors of 12493

List of positive integer factors of 12493 that divides 12480 without a remainder.

1, 13, 31, 403, 961

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12480 and 12493. The biggest common factor number is the GCF number.
So the greatest common factor 12480 and 12493 is 13.

Also check out the Least Common Multiple of 12480 and 12493