What is the Greatest Common Factor of 43758 and 43767?

Greatest common factor (GCF) of 43758 and 43767 is 9.

GCF(43758,43767) = 9

We will now calculate the prime factors of 43758 and 43767, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43758 and 43767.

How to find the GCF of 43758 and 43767?

We will first find the prime factorization of 43758 and 43767. After we will calculate the factors of 43758 and 43767 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 43767

Prime factors of 43767 are 3, 1621. Prime factorization of 43767 in exponential form is:

43767 = 3³ × 1621¹

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 43767

List of positive integer factors of 43767 that divides 43758 without a remainder.

1, 3, 9, 27, 1621, 4863, 14589

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43758 and 43767. The biggest common factor number is the GCF number.
So the greatest common factor 43758 and 43767 is 9.

Also check out the Least Common Multiple of 43758 and 43767