What is the Greatest Common Factor of 43605 and 43614?

Greatest common factor (GCF) of 43605 and 43614 is 9.

GCF(43605,43614) = 9

We will now calculate the prime factors of 43605 and 43614, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43605 and 43614.

How to find the GCF of 43605 and 43614?

We will first find the prime factorization of 43605 and 43614. After we will calculate the factors of 43605 and 43614 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 43614

Prime factors of 43614 are 2, 3, 2423. Prime factorization of 43614 in exponential form is:

43614 = 2¹ × 3² × 2423¹

Step-3: Factors of 43605

List of positive integer factors of 43605 that divides 43605 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

Step-4: Factors of 43614

List of positive integer factors of 43614 that divides 43605 without a remainder.

1, 2, 3, 6, 9, 18, 2423, 4846, 7269, 14538, 21807

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43605 and 43614. The biggest common factor number is the GCF number.
So the greatest common factor 43605 and 43614 is 9.

Also check out the Least Common Multiple of 43605 and 43614