What is the Greatest Common Factor of 36798 and 36804?

Greatest common factor (GCF) of 36798 and 36804 is 6.

GCF(36798,36804) = 6

We will now calculate the prime factors of 36798 and 36804, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36798 and 36804.

How to find the GCF of 36798 and 36804?

We will first find the prime factorization of 36798 and 36804. After we will calculate the factors of 36798 and 36804 and find the biggest common factor number .

Step-1: Prime Factorization of 36798

Prime factors of 36798 are 2, 3, 6133. Prime factorization of 36798 in exponential form is:

36798 = 2¹ × 3¹ × 6133¹

Step-2: Prime Factorization of 36804

Prime factors of 36804 are 2, 3, 3067. Prime factorization of 36804 in exponential form is:

36804 = 2² × 3¹ × 3067¹

Step-3: Factors of 36798

List of positive integer factors of 36798 that divides 36798 without a remainder.

1, 2, 3, 6, 6133, 12266, 18399

Step-4: Factors of 36804

List of positive integer factors of 36804 that divides 36798 without a remainder.

1, 2, 3, 4, 6, 12, 3067, 6134, 9201, 12268, 18402

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36798 and 36804. The biggest common factor number is the GCF number.
So the greatest common factor 36798 and 36804 is 6.

Also check out the Least Common Multiple of 36798 and 36804