What is the Greatest Common Factor of 42786 and 42804?

Greatest common factor (GCF) of 42786 and 42804 is 18.

GCF(42786,42804) = 18

We will now calculate the prime factors of 42786 and 42804, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42786 and 42804.

How to find the GCF of 42786 and 42804?

We will first find the prime factorization of 42786 and 42804. After we will calculate the factors of 42786 and 42804 and find the biggest common factor number .

Step-1: Prime Factorization of 42786

Prime factors of 42786 are 2, 3, 2377. Prime factorization of 42786 in exponential form is:

42786 = 2¹ × 3² × 2377¹

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 42786

List of positive integer factors of 42786 that divides 42786 without a remainder.

1, 2, 3, 6, 9, 18, 2377, 4754, 7131, 14262, 21393

Step-4: Factors of 42804

List of positive integer factors of 42804 that divides 42786 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 42786 and 42804. The biggest common factor number is the GCF number.
So the greatest common factor 42786 and 42804 is 18.

Also check out the Least Common Multiple of 42786 and 42804