What is the Greatest Common Factor of 41268 and 41280?

Greatest common factor (GCF) of 41268 and 41280 is 12.

GCF(41268,41280) = 12

We will now calculate the prime factors of 41268 and 41280, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41268 and 41280.

How to find the GCF of 41268 and 41280?

We will first find the prime factorization of 41268 and 41280. After we will calculate the factors of 41268 and 41280 and find the biggest common factor number .

Step-1: Prime Factorization of 41268

Prime factors of 41268 are 2, 3, 19, 181. Prime factorization of 41268 in exponential form is:

41268 = 2² × 3¹ × 19¹ × 181¹

Step-2: Prime Factorization of 41280

Prime factors of 41280 are 2, 3, 5, 43. Prime factorization of 41280 in exponential form is:

41280 = 2⁶ × 3¹ × 5¹ × 43¹

Step-3: Factors of 41268

List of positive integer factors of 41268 that divides 41268 without a remainder.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 181, 228, 362, 543, 724, 1086, 2172, 3439, 6878, 10317, 13756, 20634

Step-4: Factors of 41280

List of positive integer factors of 41280 that divides 41268 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 43, 48, 60, 64, 80, 86, 96, 120, 129, 160, 172, 192, 215, 240, 258, 320, 344, 430, 480, 516, 645, 688, 860, 960, 1032, 1290, 1376, 1720, 2064, 2580, 2752, 3440, 4128, 5160, 6880, 8256, 10320, 13760, 20640

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41268 and 41280. The biggest common factor number is the GCF number.
So the greatest common factor 41268 and 41280 is 12.

Also check out the Least Common Multiple of 41268 and 41280