What is the Greatest Common Factor of 12240 and 12259?

Greatest common factor (GCF) of 12240 and 12259 is 1.

GCF(12240,12259) = 1

We will now calculate the prime factors of 12240 and 12259, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12240 and 12259.

How to find the GCF of 12240 and 12259?

We will first find the prime factorization of 12240 and 12259. After we will calculate the factors of 12240 and 12259 and find the biggest common factor number .

Step-1: Prime Factorization of 12240

Prime factors of 12240 are 2, 3, 5, 17. Prime factorization of 12240 in exponential form is:

12240 = 2⁴ × 3² × 5¹ × 17¹

Step-2: Prime Factorization of 12259

Prime factors of 12259 are 13, 23, 41. Prime factorization of 12259 in exponential form is:

12259 = 13¹ × 23¹ × 41¹

Step-3: Factors of 12240

List of positive integer factors of 12240 that divides 12240 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 17, 18, 20, 24, 30, 34, 36, 40, 45, 48, 51, 60, 68, 72, 80, 85, 90, 102, 120, 136, 144, 153, 170, 180, 204, 240, 255, 272, 306, 340, 360, 408, 510, 612, 680, 720, 765, 816, 1020, 1224, 1360, 1530, 2040, 2448, 3060, 4080, 6120

Step-4: Factors of 12259

List of positive integer factors of 12259 that divides 12240 without a remainder.

1, 13, 23, 41, 299, 533, 943

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12240 and 12259. The biggest common factor number is the GCF number.
So the greatest common factor 12240 and 12259 is 1.

Also check out the Least Common Multiple of 12240 and 12259