What is the Greatest Common Factor of 84816 and 84832?

Greatest common factor (GCF) of 84816 and 84832 is 16.

GCF(84816,84832) = 16

We will now calculate the prime factors of 84816 and 84832, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84816 and 84832.

How to find the GCF of 84816 and 84832?

We will first find the prime factorization of 84816 and 84832. After we will calculate the factors of 84816 and 84832 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 84832

Prime factors of 84832 are 2, 11, 241. Prime factorization of 84832 in exponential form is:

84832 = 2⁵ × 11¹ × 241¹

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 84832

List of positive integer factors of 84832 that divides 84816 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 241, 352, 482, 964, 1928, 2651, 3856, 5302, 7712, 10604, 21208, 42416

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84816 and 84832. The biggest common factor number is the GCF number.
So the greatest common factor 84816 and 84832 is 16.

Also check out the Least Common Multiple of 84816 and 84832