What is the Greatest Common Factor of 43635 and 43655?

Greatest common factor (GCF) of 43635 and 43655 is 5.

GCF(43635,43655) = 5

We will now calculate the prime factors of 43635 and 43655, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43635 and 43655.

How to find the GCF of 43635 and 43655?

We will first find the prime factorization of 43635 and 43655. After we will calculate the factors of 43635 and 43655 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 43655

Prime factors of 43655 are 5, 8731. Prime factorization of 43655 in exponential form is:

43655 = 5¹ × 8731¹

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 43655

List of positive integer factors of 43655 that divides 43635 without a remainder.

1, 5, 8731

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43635 and 43655. The biggest common factor number is the GCF number.
So the greatest common factor 43635 and 43655 is 5.

Also check out the Least Common Multiple of 43635 and 43655