What is the Greatest Common Factor of 84348 and 84366?

Greatest common factor (GCF) of 84348 and 84366 is 18.

GCF(84348,84366) = 18

We will now calculate the prime factors of 84348 and 84366, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84348 and 84366.

How to find the GCF of 84348 and 84366?

We will first find the prime factorization of 84348 and 84366. After we will calculate the factors of 84348 and 84366 and find the biggest common factor number .

Step-1: Prime Factorization of 84348

Prime factors of 84348 are 2, 3, 11, 71. Prime factorization of 84348 in exponential form is:

84348 = 2² × 3³ × 11¹ × 71¹

Step-2: Prime Factorization of 84366

Prime factors of 84366 are 2, 3, 43, 109. Prime factorization of 84366 in exponential form is:

84366 = 2¹ × 3² × 43¹ × 109¹

Step-3: Factors of 84348

List of positive integer factors of 84348 that divides 84348 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 27, 33, 36, 44, 54, 66, 71, 99, 108, 132, 142, 198, 213, 284, 297, 396, 426, 594, 639, 781, 852, 1188, 1278, 1562, 1917, 2343, 2556, 3124, 3834, 4686, 7029, 7668, 9372, 14058, 21087, 28116, 42174

Step-4: Factors of 84366

List of positive integer factors of 84366 that divides 84348 without a remainder.

1, 2, 3, 6, 9, 18, 43, 86, 109, 129, 218, 258, 327, 387, 654, 774, 981, 1962, 4687, 9374, 14061, 28122, 42183

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84348 and 84366. The biggest common factor number is the GCF number.
So the greatest common factor 84348 and 84366 is 18.

Also check out the Least Common Multiple of 84348 and 84366