What is the Greatest Common Factor of 93645 and 93655?

Greatest common factor (GCF) of 93645 and 93655 is 5.

GCF(93645,93655) = 5

We will now calculate the prime factors of 93645 and 93655, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93645 and 93655.

How to find the GCF of 93645 and 93655?

We will first find the prime factorization of 93645 and 93655. After we will calculate the factors of 93645 and 93655 and find the biggest common factor number .

Step-1: Prime Factorization of 93645

Prime factors of 93645 are 3, 5, 2081. Prime factorization of 93645 in exponential form is:

93645 = 3² × 5¹ × 2081¹

Step-2: Prime Factorization of 93655

Prime factors of 93655 are 5, 18731. Prime factorization of 93655 in exponential form is:

93655 = 5¹ × 18731¹

Step-3: Factors of 93645

List of positive integer factors of 93645 that divides 93645 without a remainder.

1, 3, 5, 9, 15, 45, 2081, 6243, 10405, 18729, 31215

Step-4: Factors of 93655

List of positive integer factors of 93655 that divides 93645 without a remainder.

1, 5, 18731

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93645 and 93655. The biggest common factor number is the GCF number.
So the greatest common factor 93645 and 93655 is 5.

Also check out the Least Common Multiple of 93645 and 93655