What is the Greatest Common Factor of 43745 and 43758?

Greatest common factor (GCF) of 43745 and 43758 is 13.

GCF(43745,43758) = 13

We will now calculate the prime factors of 43745 and 43758, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43745 and 43758.

How to find the GCF of 43745 and 43758?

We will first find the prime factorization of 43745 and 43758. After we will calculate the factors of 43745 and 43758 and find the biggest common factor number .

Step-1: Prime Factorization of 43745

Prime factors of 43745 are 5, 13, 673. Prime factorization of 43745 in exponential form is:

43745 = 5¹ × 13¹ × 673¹

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 43745

List of positive integer factors of 43745 that divides 43745 without a remainder.

1, 5, 13, 65, 673, 3365, 8749

Step-4: Factors of 43758

List of positive integer factors of 43758 that divides 43745 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 43745 and 43758. The biggest common factor number is the GCF number.
So the greatest common factor 43745 and 43758 is 13.

Also check out the Least Common Multiple of 43745 and 43758