What is the Greatest Common Factor of 39804 and 39819?

Greatest common factor (GCF) of 39804 and 39819 is 3.

GCF(39804,39819) = 3

We will now calculate the prime factors of 39804 and 39819, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39804 and 39819.

How to find the GCF of 39804 and 39819?

We will first find the prime factorization of 39804 and 39819. After we will calculate the factors of 39804 and 39819 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 39819

Prime factors of 39819 are 3, 13, 1021. Prime factorization of 39819 in exponential form is:

39819 = 3¹ × 13¹ × 1021¹

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 39819

List of positive integer factors of 39819 that divides 39804 without a remainder.

1, 3, 13, 39, 1021, 3063, 13273

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39804 and 39819. The biggest common factor number is the GCF number.
So the greatest common factor 39804 and 39819 is 3.

Also check out the Least Common Multiple of 39804 and 39819