What is the Greatest Common Factor of 43749 and 43758?

Greatest common factor (GCF) of 43749 and 43758 is 9.

GCF(43749,43758) = 9

We will now calculate the prime factors of 43749 and 43758, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43749 and 43758.

How to find the GCF of 43749 and 43758?

We will first find the prime factorization of 43749 and 43758. After we will calculate the factors of 43749 and 43758 and find the biggest common factor number .

Step-1: Prime Factorization of 43749

Prime factors of 43749 are 3, 4861. Prime factorization of 43749 in exponential form is:

43749 = 3² × 4861¹

Step-2: 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-3: Factors of 43749

List of positive integer factors of 43749 that divides 43749 without a remainder.

1, 3, 9, 4861, 14583

Step-4: Factors of 43758

List of positive integer factors of 43758 that divides 43749 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43749 and 43758. The biggest common factor number is the GCF number.
So the greatest common factor 43749 and 43758 is 9.

Also check out the Least Common Multiple of 43749 and 43758