What is the Greatest Common Factor of 84816 and 84821?

Greatest common factor (GCF) of 84816 and 84821 is 1.

GCF(84816,84821) = 1

We will now calculate the prime factors of 84816 and 84821, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84816 and 84821.

How to find the GCF of 84816 and 84821?

We will first find the prime factorization of 84816 and 84821. After we will calculate the factors of 84816 and 84821 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 84821

Prime factors of 84821 are 11, 701. Prime factorization of 84821 in exponential form is:

84821 = 11² × 701¹

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 84821

List of positive integer factors of 84821 that divides 84816 without a remainder.

1, 11, 121, 701, 7711

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84816 and 84821. The biggest common factor number is the GCF number.
So the greatest common factor 84816 and 84821 is 1.

Also check out the Least Common Multiple of 84816 and 84821