What is the Greatest Common Factor of 43095 and 43100?

Greatest common factor (GCF) of 43095 and 43100 is 5.

GCF(43095,43100) = 5

We will now calculate the prime factors of 43095 and 43100, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43095 and 43100.

How to find the GCF of 43095 and 43100?

We will first find the prime factorization of 43095 and 43100. After we will calculate the factors of 43095 and 43100 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 43100

Prime factors of 43100 are 2, 5, 431. Prime factorization of 43100 in exponential form is:

43100 = 2² × 5² × 431¹

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 43100

List of positive integer factors of 43100 that divides 43095 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 431, 862, 1724, 2155, 4310, 8620, 10775, 21550

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43095 and 43100. The biggest common factor number is the GCF number.
So the greatest common factor 43095 and 43100 is 5.

Also check out the Least Common Multiple of 43095 and 43100