What is the Greatest Common Factor of 42795 and 42804?

Greatest common factor (GCF) of 42795 and 42804 is 9.

GCF(42795,42804) = 9

We will now calculate the prime factors of 42795 and 42804, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42795 and 42804.

How to find the GCF of 42795 and 42804?

We will first find the prime factorization of 42795 and 42804. After we will calculate the factors of 42795 and 42804 and find the biggest common factor number .

Step-1: Prime Factorization of 42795

Prime factors of 42795 are 3, 5, 317. Prime factorization of 42795 in exponential form is:

42795 = 3³ × 5¹ × 317¹

Step-2: Prime Factorization of 42804

Prime factors of 42804 are 2, 3, 29, 41. Prime factorization of 42804 in exponential form is:

42804 = 2² × 3² × 29¹ × 41¹

Step-3: Factors of 42795

List of positive integer factors of 42795 that divides 42795 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135, 317, 951, 1585, 2853, 4755, 8559, 14265

Step-4: Factors of 42804

List of positive integer factors of 42804 that divides 42795 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 29, 36, 41, 58, 82, 87, 116, 123, 164, 174, 246, 261, 348, 369, 492, 522, 738, 1044, 1189, 1476, 2378, 3567, 4756, 7134, 10701, 14268, 21402

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42795 and 42804. The biggest common factor number is the GCF number.
So the greatest common factor 42795 and 42804 is 9.

Also check out the Least Common Multiple of 42795 and 42804