What is the Greatest Common Factor of 36095 and 36100?

Greatest common factor (GCF) of 36095 and 36100 is 5.

GCF(36095,36100) = 5

We will now calculate the prime factors of 36095 and 36100, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36095 and 36100.

How to find the GCF of 36095 and 36100?

We will first find the prime factorization of 36095 and 36100. After we will calculate the factors of 36095 and 36100 and find the biggest common factor number .

Step-1: Prime Factorization of 36095

Prime factors of 36095 are 5, 7219. Prime factorization of 36095 in exponential form is:

36095 = 5¹ × 7219¹

Step-2: Prime Factorization of 36100

Prime factors of 36100 are 2, 5, 19. Prime factorization of 36100 in exponential form is:

36100 = 2² × 5² × 19²

Step-3: Factors of 36095

List of positive integer factors of 36095 that divides 36095 without a remainder.

1, 5, 7219

Step-4: Factors of 36100

List of positive integer factors of 36100 that divides 36095 without a remainder.

1, 2, 4, 5, 10, 19, 20, 25, 38, 50, 76, 95, 100, 190, 361, 380, 475, 722, 950, 1444, 1805, 1900, 3610, 7220, 9025, 18050

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36095 and 36100. The biggest common factor number is the GCF number.
So the greatest common factor 36095 and 36100 is 5.

Also check out the Least Common Multiple of 36095 and 36100