What is the Greatest Common Factor of 41418 and 41431?

Greatest common factor (GCF) of 41418 and 41431 is 13.

GCF(41418,41431) = 13

We will now calculate the prime factors of 41418 and 41431, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41418 and 41431.

How to find the GCF of 41418 and 41431?

We will first find the prime factorization of 41418 and 41431. After we will calculate the factors of 41418 and 41431 and find the biggest common factor number .

Step-1: Prime Factorization of 41418

Prime factors of 41418 are 2, 3, 13, 59. Prime factorization of 41418 in exponential form is:

41418 = 2¹ × 3³ × 13¹ × 59¹

Step-2: Prime Factorization of 41431

Prime factors of 41431 are 13, 3187. Prime factorization of 41431 in exponential form is:

41431 = 13¹ × 3187¹

Step-3: Factors of 41418

List of positive integer factors of 41418 that divides 41418 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 59, 78, 117, 118, 177, 234, 351, 354, 531, 702, 767, 1062, 1534, 1593, 2301, 3186, 4602, 6903, 13806, 20709

Step-4: Factors of 41431

List of positive integer factors of 41431 that divides 41418 without a remainder.

1, 13, 3187

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41418 and 41431. The biggest common factor number is the GCF number.
So the greatest common factor 41418 and 41431 is 13.

Also check out the Least Common Multiple of 41418 and 41431