What is the Greatest Common Factor of 36893 and 36900?

Greatest common factor (GCF) of 36893 and 36900 is 1.

GCF(36893,36900) = 1

We will now calculate the prime factors of 36893 and 36900, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36893 and 36900.

How to find the GCF of 36893 and 36900?

We will first find the prime factorization of 36893 and 36900. After we will calculate the factors of 36893 and 36900 and find the biggest common factor number .

Step-1: Prime Factorization of 36893

Prime factors of 36893 are 79, 467. Prime factorization of 36893 in exponential form is:

36893 = 79¹ × 467¹

Step-2: Prime Factorization of 36900

Prime factors of 36900 are 2, 3, 5, 41. Prime factorization of 36900 in exponential form is:

36900 = 2² × 3² × 5² × 41¹

Step-3: Factors of 36893

List of positive integer factors of 36893 that divides 36893 without a remainder.

1, 79, 467

Step-4: Factors of 36900

List of positive integer factors of 36900 that divides 36893 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 41, 45, 50, 60, 75, 82, 90, 100, 123, 150, 164, 180, 205, 225, 246, 300, 369, 410, 450, 492, 615, 738, 820, 900, 1025, 1230, 1476, 1845, 2050, 2460, 3075, 3690, 4100, 6150, 7380, 9225, 12300, 18450

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36893 and 36900. The biggest common factor number is the GCF number.
So the greatest common factor 36893 and 36900 is 1.

Also check out the Least Common Multiple of 36893 and 36900