What is the Greatest Common Factor of 43095 and 43115?

Greatest common factor (GCF) of 43095 and 43115 is 5.

GCF(43095,43115) = 5

We will now calculate the prime factors of 43095 and 43115, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43095 and 43115.

How to find the GCF of 43095 and 43115?

We will first find the prime factorization of 43095 and 43115. After we will calculate the factors of 43095 and 43115 and find the biggest common factor number .

Step-1: Prime Factorization of 43095

Prime factors of 43095 are 3, 5, 13, 17. Prime factorization of 43095 in exponential form is:

43095 = 3¹ × 5¹ × 13² × 17¹

Step-2: Prime Factorization of 43115

Prime factors of 43115 are 5, 8623. Prime factorization of 43115 in exponential form is:

43115 = 5¹ × 8623¹

Step-3: Factors of 43095

List of positive integer factors of 43095 that divides 43095 without a remainder.

1, 3, 5, 13, 15, 17, 39, 51, 65, 85, 169, 195, 221, 255, 507, 663, 845, 1105, 2535, 2873, 3315, 8619, 14365

Step-4: Factors of 43115

List of positive integer factors of 43115 that divides 43095 without a remainder.

1, 5, 8623

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43095 and 43115. The biggest common factor number is the GCF number.
So the greatest common factor 43095 and 43115 is 5.

Also check out the Least Common Multiple of 43095 and 43115