What is the Greatest Common Factor of 12480 and 12499?

Greatest common factor (GCF) of 12480 and 12499 is 1.

GCF(12480,12499) = 1

We will now calculate the prime factors of 12480 and 12499, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12480 and 12499.

How to find the GCF of 12480 and 12499?

We will first find the prime factorization of 12480 and 12499. After we will calculate the factors of 12480 and 12499 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 12499

Prime factors of 12499 are 29, 431. Prime factorization of 12499 in exponential form is:

12499 = 29¹ × 431¹

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 12499

List of positive integer factors of 12499 that divides 12480 without a remainder.

1, 29, 431

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12480 and 12499. The biggest common factor number is the GCF number.
So the greatest common factor 12480 and 12499 is 1.

Also check out the Least Common Multiple of 12480 and 12499