What is the Greatest Common Factor of 12480 and 12500?

Greatest common factor (GCF) of 12480 and 12500 is 20.

GCF(12480,12500) = 20

We will now calculate the prime factors of 12480 and 12500, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12480 and 12500.

How to find the GCF of 12480 and 12500?

We will first find the prime factorization of 12480 and 12500. After we will calculate the factors of 12480 and 12500 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 12500

Prime factors of 12500 are 2, 5. Prime factorization of 12500 in exponential form is:

12500 = 2² × 5⁵

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 12500

List of positive integer factors of 12500 that divides 12480 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500, 625, 1250, 2500, 3125, 6250

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12480 and 12500. The biggest common factor number is the GCF number.
So the greatest common factor 12480 and 12500 is 20.

Also check out the Least Common Multiple of 12480 and 12500