What is the Greatest Common Factor of 41249 and 41268?

Greatest common factor (GCF) of 41249 and 41268 is 19.

GCF(41249,41268) = 19

We will now calculate the prime factors of 41249 and 41268, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41249 and 41268.

How to find the GCF of 41249 and 41268?

We will first find the prime factorization of 41249 and 41268. After we will calculate the factors of 41249 and 41268 and find the biggest common factor number .

Step-1: Prime Factorization of 41249

Prime factors of 41249 are 13, 19, 167. Prime factorization of 41249 in exponential form is:

41249 = 13¹ × 19¹ × 167¹

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 41249

List of positive integer factors of 41249 that divides 41249 without a remainder.

1, 13, 19, 167, 247, 2171, 3173

Step-4: Factors of 41268

List of positive integer factors of 41268 that divides 41249 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 41249 and 41268. The biggest common factor number is the GCF number.
So the greatest common factor 41249 and 41268 is 19.

Also check out the Least Common Multiple of 41249 and 41268