What is the Greatest Common Factor of 84336 and 84348?

Greatest common factor (GCF) of 84336 and 84348 is 12.

GCF(84336,84348) = 12

We will now calculate the prime factors of 84336 and 84348, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84336 and 84348.

How to find the GCF of 84336 and 84348?

We will first find the prime factorization of 84336 and 84348. After we will calculate the factors of 84336 and 84348 and find the biggest common factor number .

Step-1: Prime Factorization of 84336

Prime factors of 84336 are 2, 3, 7, 251. Prime factorization of 84336 in exponential form is:

84336 = 2⁴ × 3¹ × 7¹ × 251¹

Step-2: 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-3: Factors of 84336

List of positive integer factors of 84336 that divides 84336 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 251, 336, 502, 753, 1004, 1506, 1757, 2008, 3012, 3514, 4016, 5271, 6024, 7028, 10542, 12048, 14056, 21084, 28112, 42168

Step-4: Factors of 84348

List of positive integer factors of 84348 that divides 84336 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84336 and 84348. The biggest common factor number is the GCF number.
So the greatest common factor 84336 and 84348 is 12.

Also check out the Least Common Multiple of 84336 and 84348