What is the Greatest Common Factor of 12480 and 12484?

Greatest common factor (GCF) of 12480 and 12484 is 4.

GCF(12480,12484) = 4

We will now calculate the prime factors of 12480 and 12484, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12480 and 12484.

How to find the GCF of 12480 and 12484?

We will first find the prime factorization of 12480 and 12484. After we will calculate the factors of 12480 and 12484 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 12484

Prime factors of 12484 are 2, 3121. Prime factorization of 12484 in exponential form is:

12484 = 2² × 3121¹

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 12484

List of positive integer factors of 12484 that divides 12480 without a remainder.

1, 2, 4, 3121, 6242

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12480 and 12484. The biggest common factor number is the GCF number.
So the greatest common factor 12480 and 12484 is 4.

Also check out the Least Common Multiple of 12480 and 12484