What is the Greatest Common Factor of 42804 and 42814?

Greatest common factor (GCF) of 42804 and 42814 is 2.

GCF(42804,42814) = 2

We will now calculate the prime factors of 42804 and 42814, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42804 and 42814.

How to find the GCF of 42804 and 42814?

We will first find the prime factorization of 42804 and 42814. After we will calculate the factors of 42804 and 42814 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 42814

Prime factors of 42814 are 2, 21407. Prime factorization of 42814 in exponential form is:

42814 = 2¹ × 21407¹

Step-3: Factors of 42804

List of positive integer factors of 42804 that divides 42804 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

Step-4: Factors of 42814

List of positive integer factors of 42814 that divides 42804 without a remainder.

1, 2, 21407

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42804 and 42814. The biggest common factor number is the GCF number.
So the greatest common factor 42804 and 42814 is 2.

Also check out the Least Common Multiple of 42804 and 42814