What is the Greatest Common Factor of 84816 and 84834?

Greatest common factor (GCF) of 84816 and 84834 is 18.

GCF(84816,84834) = 18

We will now calculate the prime factors of 84816 and 84834, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84816 and 84834.

How to find the GCF of 84816 and 84834?

We will first find the prime factorization of 84816 and 84834. After we will calculate the factors of 84816 and 84834 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 84834

Prime factors of 84834 are 2, 3, 1571. Prime factorization of 84834 in exponential form is:

84834 = 2¹ × 3³ × 1571¹

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 84834

List of positive integer factors of 84834 that divides 84816 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 1571, 3142, 4713, 9426, 14139, 28278, 42417

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84816 and 84834. The biggest common factor number is the GCF number.
So the greatest common factor 84816 and 84834 is 18.

Also check out the Least Common Multiple of 84816 and 84834