What is the Greatest Common Factor of 39804 and 39822?

Greatest common factor (GCF) of 39804 and 39822 is 6.

GCF(39804,39822) = 6

We will now calculate the prime factors of 39804 and 39822, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39804 and 39822.

How to find the GCF of 39804 and 39822?

We will first find the prime factorization of 39804 and 39822. After we will calculate the factors of 39804 and 39822 and find the biggest common factor number .

Step-1: Prime Factorization of 39804

Prime factors of 39804 are 2, 3, 31, 107. Prime factorization of 39804 in exponential form is:

39804 = 2² × 3¹ × 31¹ × 107¹

Step-2: Prime Factorization of 39822

Prime factors of 39822 are 2, 3, 6637. Prime factorization of 39822 in exponential form is:

39822 = 2¹ × 3¹ × 6637¹

Step-3: Factors of 39804

List of positive integer factors of 39804 that divides 39804 without a remainder.

1, 2, 3, 4, 6, 12, 31, 62, 93, 107, 124, 186, 214, 321, 372, 428, 642, 1284, 3317, 6634, 9951, 13268, 19902

Step-4: Factors of 39822

List of positive integer factors of 39822 that divides 39804 without a remainder.

1, 2, 3, 6, 6637, 13274, 19911

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39804 and 39822. The biggest common factor number is the GCF number.
So the greatest common factor 39804 and 39822 is 6.

Also check out the Least Common Multiple of 39804 and 39822