What is the Greatest Common Factor of 43588 and 43605?

Greatest common factor (GCF) of 43588 and 43605 is 17.

GCF(43588,43605) = 17

We will now calculate the prime factors of 43588 and 43605, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43588 and 43605.

How to find the GCF of 43588 and 43605?

We will first find the prime factorization of 43588 and 43605. After we will calculate the factors of 43588 and 43605 and find the biggest common factor number .

Step-1: Prime Factorization of 43588

Prime factors of 43588 are 2, 17, 641. Prime factorization of 43588 in exponential form is:

43588 = 2² × 17¹ × 641¹

Step-2: Prime Factorization of 43605

Prime factors of 43605 are 3, 5, 17, 19. Prime factorization of 43605 in exponential form is:

43605 = 3³ × 5¹ × 17¹ × 19¹

Step-3: Factors of 43588

List of positive integer factors of 43588 that divides 43588 without a remainder.

1, 2, 4, 17, 34, 68, 641, 1282, 2564, 10897, 21794

Step-4: Factors of 43605

List of positive integer factors of 43605 that divides 43588 without a remainder.

1, 3, 5, 9, 15, 17, 19, 27, 45, 51, 57, 85, 95, 135, 153, 171, 255, 285, 323, 459, 513, 765, 855, 969, 1615, 2295, 2565, 2907, 4845, 8721, 14535

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43588 and 43605. The biggest common factor number is the GCF number.
So the greatest common factor 43588 and 43605 is 17.

Also check out the Least Common Multiple of 43588 and 43605