What is the Greatest Common Factor of 36091 and 36100?

Greatest common factor (GCF) of 36091 and 36100 is 1.

GCF(36091,36100) = 1

We will now calculate the prime factors of 36091 and 36100, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36091 and 36100.

How to find the GCF of 36091 and 36100?

We will first find the prime factorization of 36091 and 36100. After we will calculate the factors of 36091 and 36100 and find the biggest common factor number .

Step-1: Prime Factorization of 36091

Prime factors of 36091 are 11, 17, 193. Prime factorization of 36091 in exponential form is:

36091 = 11¹ × 17¹ × 193¹

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 36091

List of positive integer factors of 36091 that divides 36091 without a remainder.

1, 11, 17, 187, 193, 2123, 3281

Step-4: Factors of 36100

List of positive integer factors of 36100 that divides 36091 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 36091 and 36100. The biggest common factor number is the GCF number.
So the greatest common factor 36091 and 36100 is 1.

Also check out the Least Common Multiple of 36091 and 36100