What is the Greatest Common Factor of 43635 and 43645?

Greatest common factor (GCF) of 43635 and 43645 is 5.

GCF(43635,43645) = 5

We will now calculate the prime factors of 43635 and 43645, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43635 and 43645.

How to find the GCF of 43635 and 43645?

We will first find the prime factorization of 43635 and 43645. After we will calculate the factors of 43635 and 43645 and find the biggest common factor number .

Step-1: Prime Factorization of 43635

Prime factors of 43635 are 3, 5, 2909. Prime factorization of 43635 in exponential form is:

43635 = 3¹ × 5¹ × 2909¹

Step-2: Prime Factorization of 43645

Prime factors of 43645 are 5, 7, 29, 43. Prime factorization of 43645 in exponential form is:

43645 = 5¹ × 7¹ × 29¹ × 43¹

Step-3: Factors of 43635

List of positive integer factors of 43635 that divides 43635 without a remainder.

1, 3, 5, 15, 2909, 8727, 14545

Step-4: Factors of 43645

List of positive integer factors of 43645 that divides 43635 without a remainder.

1, 5, 7, 29, 35, 43, 145, 203, 215, 301, 1015, 1247, 1505, 6235, 8729

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43635 and 43645. The biggest common factor number is the GCF number.
So the greatest common factor 43635 and 43645 is 5.

Also check out the Least Common Multiple of 43635 and 43645