What is the Greatest Common Factor of 43741 and 43758?

Greatest common factor (GCF) of 43741 and 43758 is 17.

GCF(43741,43758) = 17

We will now calculate the prime factors of 43741 and 43758, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43741 and 43758.

How to find the GCF of 43741 and 43758?

We will first find the prime factorization of 43741 and 43758. After we will calculate the factors of 43741 and 43758 and find the biggest common factor number .

Step-1: Prime Factorization of 43741

Prime factors of 43741 are 17, 31, 83. Prime factorization of 43741 in exponential form is:

43741 = 17¹ × 31¹ × 83¹

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 43741

List of positive integer factors of 43741 that divides 43741 without a remainder.

1, 17, 31, 83, 527, 1411, 2573

Step-4: Factors of 43758

List of positive integer factors of 43758 that divides 43741 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 43741 and 43758. The biggest common factor number is the GCF number.
So the greatest common factor 43741 and 43758 is 17.

Also check out the Least Common Multiple of 43741 and 43758