What is the Greatest Common Factor of 36804 and 36808?

Greatest common factor (GCF) of 36804 and 36808 is 4.

GCF(36804,36808) = 4

We will now calculate the prime factors of 36804 and 36808, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36804 and 36808.

How to find the GCF of 36804 and 36808?

We will first find the prime factorization of 36804 and 36808. After we will calculate the factors of 36804 and 36808 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 36808

Prime factors of 36808 are 2, 43, 107. Prime factorization of 36808 in exponential form is:

36808 = 2³ × 43¹ × 107¹

Step-3: Factors of 36804

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

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

Step-4: Factors of 36808

List of positive integer factors of 36808 that divides 36804 without a remainder.

1, 2, 4, 8, 43, 86, 107, 172, 214, 344, 428, 856, 4601, 9202, 18404

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36804 and 36808. The biggest common factor number is the GCF number.
So the greatest common factor 36804 and 36808 is 4.

Also check out the Least Common Multiple of 36804 and 36808