What is the Greatest Common Factor of 42804 and 42816?

Greatest common factor (GCF) of 42804 and 42816 is 12.

GCF(42804,42816) = 12

We will now calculate the prime factors of 42804 and 42816, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42804 and 42816.

How to find the GCF of 42804 and 42816?

We will first find the prime factorization of 42804 and 42816. After we will calculate the factors of 42804 and 42816 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 42816

Prime factors of 42816 are 2, 3, 223. Prime factorization of 42816 in exponential form is:

42816 = 2⁶ × 3¹ × 223¹

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 42816

List of positive integer factors of 42816 that divides 42804 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192, 223, 446, 669, 892, 1338, 1784, 2676, 3568, 5352, 7136, 10704, 14272, 21408

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42804 and 42816. The biggest common factor number is the GCF number.
So the greatest common factor 42804 and 42816 is 12.

Also check out the Least Common Multiple of 42804 and 42816