What is the Greatest Common Factor of 84324 and 84336?

Greatest common factor (GCF) of 84324 and 84336 is 12.

GCF(84324,84336) = 12

We will now calculate the prime factors of 84324 and 84336, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84324 and 84336.

How to find the GCF of 84324 and 84336?

We will first find the prime factorization of 84324 and 84336. After we will calculate the factors of 84324 and 84336 and find the biggest common factor number .

Step-1: Prime Factorization of 84324

Prime factors of 84324 are 2, 3, 7027. Prime factorization of 84324 in exponential form is:

84324 = 2² × 3¹ × 7027¹

Step-2: 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-3: Factors of 84324

List of positive integer factors of 84324 that divides 84324 without a remainder.

1, 2, 3, 4, 6, 12, 7027, 14054, 21081, 28108, 42162

Step-4: Factors of 84336

List of positive integer factors of 84336 that divides 84324 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84324 and 84336. The biggest common factor number is the GCF number.
So the greatest common factor 84324 and 84336 is 12.

Also check out the Least Common Multiple of 84324 and 84336