What is the Greatest Common Factor of 75804 and 75816?

Greatest common factor (GCF) of 75804 and 75816 is 12.

GCF(75804,75816) = 12

We will now calculate the prime factors of 75804 and 75816, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75804 and 75816.

How to find the GCF of 75804 and 75816?

We will first find the prime factorization of 75804 and 75816. After we will calculate the factors of 75804 and 75816 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 75816

Prime factors of 75816 are 2, 3, 13. Prime factorization of 75816 in exponential form is:

75816 = 2³ × 3⁶ × 13¹

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 75816

List of positive integer factors of 75816 that divides 75804 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 27, 36, 39, 52, 54, 72, 78, 81, 104, 108, 117, 156, 162, 216, 234, 243, 312, 324, 351, 468, 486, 648, 702, 729, 936, 972, 1053, 1404, 1458, 1944, 2106, 2808, 2916, 3159, 4212, 5832, 6318, 8424, 9477, 12636, 18954, 25272, 37908

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75804 and 75816. The biggest common factor number is the GCF number.
So the greatest common factor 75804 and 75816 is 12.

Also check out the Least Common Multiple of 75804 and 75816