What is the Greatest Common Factor of 41259 and 41268?

Greatest common factor (GCF) of 41259 and 41268 is 3.

GCF(41259,41268) = 3

We will now calculate the prime factors of 41259 and 41268, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41259 and 41268.

How to find the GCF of 41259 and 41268?

We will first find the prime factorization of 41259 and 41268. After we will calculate the factors of 41259 and 41268 and find the biggest common factor number .

Step-1: Prime Factorization of 41259

Prime factors of 41259 are 3, 17, 809. Prime factorization of 41259 in exponential form is:

41259 = 3¹ × 17¹ × 809¹

Step-2: 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-3: Factors of 41259

List of positive integer factors of 41259 that divides 41259 without a remainder.

1, 3, 17, 51, 809, 2427, 13753

Step-4: Factors of 41268

List of positive integer factors of 41268 that divides 41259 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41259 and 41268. The biggest common factor number is the GCF number.
So the greatest common factor 41259 and 41268 is 3.

Also check out the Least Common Multiple of 41259 and 41268