What is the Greatest Common Factor of 75804 and 75819?

Greatest common factor (GCF) of 75804 and 75819 is 3.

GCF(75804,75819) = 3

We will now calculate the prime factors of 75804 and 75819, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75804 and 75819.

How to find the GCF of 75804 and 75819?

We will first find the prime factorization of 75804 and 75819. After we will calculate the factors of 75804 and 75819 and find the biggest common factor number .

Step-1: Prime Factorization of 75804

Prime factors of 75804 are 2, 3, 6317. Prime factorization of 75804 in exponential form is:

75804 = 2² × 3¹ × 6317¹

Step-2: Prime Factorization of 75819

Prime factors of 75819 are 3, 127, 199. Prime factorization of 75819 in exponential form is:

75819 = 3¹ × 127¹ × 199¹

Step-3: Factors of 75804

List of positive integer factors of 75804 that divides 75804 without a remainder.

1, 2, 3, 4, 6, 12, 6317, 12634, 18951, 25268, 37902

Step-4: Factors of 75819

List of positive integer factors of 75819 that divides 75804 without a remainder.

1, 3, 127, 199, 381, 597, 25273

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75804 and 75819. The biggest common factor number is the GCF number.
So the greatest common factor 75804 and 75819 is 3.

Also check out the Least Common Multiple of 75804 and 75819