What is the Greatest Common Factor of 84804 and 84816?

Greatest common factor (GCF) of 84804 and 84816 is 12.

GCF(84804,84816) = 12

We will now calculate the prime factors of 84804 and 84816, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84804 and 84816.

How to find the GCF of 84804 and 84816?

We will first find the prime factorization of 84804 and 84816. After we will calculate the factors of 84804 and 84816 and find the biggest common factor number .

Step-1: Prime Factorization of 84804

Prime factors of 84804 are 2, 3, 37, 191. Prime factorization of 84804 in exponential form is:

84804 = 2² × 3¹ × 37¹ × 191¹

Step-2: Prime Factorization of 84816

Prime factors of 84816 are 2, 3, 19, 31. Prime factorization of 84816 in exponential form is:

84816 = 2⁴ × 3² × 19¹ × 31¹

Step-3: Factors of 84804

List of positive integer factors of 84804 that divides 84804 without a remainder.

1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 191, 222, 382, 444, 573, 764, 1146, 2292, 7067, 14134, 21201, 28268, 42402

Step-4: Factors of 84816

List of positive integer factors of 84816 that divides 84804 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 19, 24, 31, 36, 38, 48, 57, 62, 72, 76, 93, 114, 124, 144, 152, 171, 186, 228, 248, 279, 304, 342, 372, 456, 496, 558, 589, 684, 744, 912, 1116, 1178, 1368, 1488, 1767, 2232, 2356, 2736, 3534, 4464, 4712, 5301, 7068, 9424, 10602, 14136, 21204, 28272, 42408

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84804 and 84816. The biggest common factor number is the GCF number.
So the greatest common factor 84804 and 84816 is 12.

Also check out the Least Common Multiple of 84804 and 84816