What is the Greatest Common Factor of 43758 and 43771?

Greatest common factor (GCF) of 43758 and 43771 is 13.

GCF(43758,43771) = 13

We will now calculate the prime factors of 43758 and 43771, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43758 and 43771.

How to find the GCF of 43758 and 43771?

We will first find the prime factorization of 43758 and 43771. After we will calculate the factors of 43758 and 43771 and find the biggest common factor number .

Step-1: Prime Factorization of 43758

Prime factors of 43758 are 2, 3, 11, 13, 17. Prime factorization of 43758 in exponential form is:

43758 = 2¹ × 3² × 11¹ × 13¹ × 17¹

Step-2: Prime Factorization of 43771

Prime factors of 43771 are 7, 13, 37. Prime factorization of 43771 in exponential form is:

43771 = 7¹ × 13² × 37¹

Step-3: Factors of 43758

List of positive integer factors of 43758 that divides 43758 without a remainder.

1, 2, 3, 6, 9, 11, 13, 17, 18, 22, 26, 33, 34, 39, 51, 66, 78, 99, 102, 117, 143, 153, 187, 198, 221, 234, 286, 306, 374, 429, 442, 561, 663, 858, 1122, 1287, 1326, 1683, 1989, 2431, 2574, 3366, 3978, 4862, 7293, 14586, 21879

Step-4: Factors of 43771

List of positive integer factors of 43771 that divides 43758 without a remainder.

1, 7, 13, 37, 91, 169, 259, 481, 1183, 3367, 6253

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43758 and 43771. The biggest common factor number is the GCF number.
So the greatest common factor 43758 and 43771 is 13.

Also check out the Least Common Multiple of 43758 and 43771