What is the Greatest Common Factor of 36100 and 36110?

Greatest common factor (GCF) of 36100 and 36110 is 10.

GCF(36100,36110) = 10

We will now calculate the prime factors of 36100 and 36110, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36100 and 36110.

How to find the GCF of 36100 and 36110?

We will first find the prime factorization of 36100 and 36110. After we will calculate the factors of 36100 and 36110 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 36110

Prime factors of 36110 are 2, 5, 23, 157. Prime factorization of 36110 in exponential form is:

36110 = 2¹ × 5¹ × 23¹ × 157¹

Step-3: Factors of 36100

List of positive integer factors of 36100 that divides 36100 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

Step-4: Factors of 36110

List of positive integer factors of 36110 that divides 36100 without a remainder.

1, 2, 5, 10, 23, 46, 115, 157, 230, 314, 785, 1570, 3611, 7222, 18055

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36100 and 36110. The biggest common factor number is the GCF number.
So the greatest common factor 36100 and 36110 is 10.

Also check out the Least Common Multiple of 36100 and 36110