What is the Greatest Common Factor of 36100 and 36104?

Greatest common factor (GCF) of 36100 and 36104 is 4.

GCF(36100,36104) = 4

We will now calculate the prime factors of 36100 and 36104, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36100 and 36104.

How to find the GCF of 36100 and 36104?

We will first find the prime factorization of 36100 and 36104. After we will calculate the factors of 36100 and 36104 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 36104

Prime factors of 36104 are 2, 4513. Prime factorization of 36104 in exponential form is:

36104 = 2³ × 4513¹

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 36104

List of positive integer factors of 36104 that divides 36100 without a remainder.

1, 2, 4, 8, 4513, 9026, 18052

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36100 and 36104. The biggest common factor number is the GCF number.
So the greatest common factor 36100 and 36104 is 4.

Also check out the Least Common Multiple of 36100 and 36104