What is the Greatest Common Factor of 43601 and 43605?

Greatest common factor (GCF) of 43601 and 43605 is 1.

GCF(43601,43605) = 1

We will now calculate the prime factors of 43601 and 43605, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43601 and 43605.

How to find the GCF of 43601 and 43605?

We will first find the prime factorization of 43601 and 43605. After we will calculate the factors of 43601 and 43605 and find the biggest common factor number .

Step-1: Prime Factorization of 43601

Prime factors of 43601 are 59, 739. Prime factorization of 43601 in exponential form is:

43601 = 59¹ × 739¹

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 43601

List of positive integer factors of 43601 that divides 43601 without a remainder.

1, 59, 739

Step-4: Factors of 43605

List of positive integer factors of 43605 that divides 43601 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 43601 and 43605. The biggest common factor number is the GCF number.
So the greatest common factor 43601 and 43605 is 1.

Also check out the Least Common Multiple of 43601 and 43605