What is the Greatest Common Factor of 43758 and 43766?

Greatest common factor (GCF) of 43758 and 43766 is 2.

GCF(43758,43766) = 2

We will now calculate the prime factors of 43758 and 43766, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43758 and 43766.

How to find the GCF of 43758 and 43766?

We will first find the prime factorization of 43758 and 43766. After we will calculate the factors of 43758 and 43766 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 43766

Prime factors of 43766 are 2, 79, 277. Prime factorization of 43766 in exponential form is:

43766 = 2¹ × 79¹ × 277¹

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 43766

List of positive integer factors of 43766 that divides 43758 without a remainder.

1, 2, 79, 158, 277, 554, 21883

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43758 and 43766. The biggest common factor number is the GCF number.
So the greatest common factor 43758 and 43766 is 2.

Also check out the Least Common Multiple of 43758 and 43766