What is the Greatest Common Factor of 75804 and 75813?

Greatest common factor (GCF) of 75804 and 75813 is 3.

GCF(75804,75813) = 3

We will now calculate the prime factors of 75804 and 75813, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75804 and 75813.

How to find the GCF of 75804 and 75813?

We will first find the prime factorization of 75804 and 75813. After we will calculate the factors of 75804 and 75813 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 75813

Prime factors of 75813 are 3, 37, 683. Prime factorization of 75813 in exponential form is:

75813 = 3¹ × 37¹ × 683¹

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 75813

List of positive integer factors of 75813 that divides 75804 without a remainder.

1, 3, 37, 111, 683, 2049, 25271

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75804 and 75813. The biggest common factor number is the GCF number.
So the greatest common factor 75804 and 75813 is 3.

Also check out the Least Common Multiple of 75804 and 75813