What is the Greatest Common Factor of 12480 and 12496?

Greatest common factor (GCF) of 12480 and 12496 is 16.

GCF(12480,12496) = 16

We will now calculate the prime factors of 12480 and 12496, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12480 and 12496.

How to find the GCF of 12480 and 12496?

We will first find the prime factorization of 12480 and 12496. After we will calculate the factors of 12480 and 12496 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 12496

Prime factors of 12496 are 2, 11, 71. Prime factorization of 12496 in exponential form is:

12496 = 2⁴ × 11¹ × 71¹

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 12496

List of positive integer factors of 12496 that divides 12480 without a remainder.

1, 2, 4, 8, 11, 16, 22, 44, 71, 88, 142, 176, 284, 568, 781, 1136, 1562, 3124, 6248

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12480 and 12496. The biggest common factor number is the GCF number.
So the greatest common factor 12480 and 12496 is 16.

Also check out the Least Common Multiple of 12480 and 12496