What is the Greatest Common Factor of 84816 and 84836?

Greatest common factor (GCF) of 84816 and 84836 is 4.

GCF(84816,84836) = 4

We will now calculate the prime factors of 84816 and 84836, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84816 and 84836.

How to find the GCF of 84816 and 84836?

We will first find the prime factorization of 84816 and 84836. After we will calculate the factors of 84816 and 84836 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 84836

Prime factors of 84836 are 2, 127, 167. Prime factorization of 84836 in exponential form is:

84836 = 2² × 127¹ × 167¹

Step-3: Factors of 84816

List of positive integer factors of 84816 that divides 84816 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

Step-4: Factors of 84836

List of positive integer factors of 84836 that divides 84816 without a remainder.

1, 2, 4, 127, 167, 254, 334, 508, 668, 21209, 42418

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84816 and 84836. The biggest common factor number is the GCF number.
So the greatest common factor 84816 and 84836 is 4.

Also check out the Least Common Multiple of 84816 and 84836