What is the Greatest Common Factor of 84316 and 84336?

Greatest common factor (GCF) of 84316 and 84336 is 4.

GCF(84316,84336) = 4

We will now calculate the prime factors of 84316 and 84336, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84316 and 84336.

How to find the GCF of 84316 and 84336?

We will first find the prime factorization of 84316 and 84336. After we will calculate the factors of 84316 and 84336 and find the biggest common factor number .

Step-1: Prime Factorization of 84316

Prime factors of 84316 are 2, 107, 197. Prime factorization of 84316 in exponential form is:

84316 = 2² × 107¹ × 197¹

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 84316

List of positive integer factors of 84316 that divides 84316 without a remainder.

1, 2, 4, 107, 197, 214, 394, 428, 788, 21079, 42158

Step-4: Factors of 84336

List of positive integer factors of 84336 that divides 84316 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 84316 and 84336. The biggest common factor number is the GCF number.
So the greatest common factor 84316 and 84336 is 4.

Also check out the Least Common Multiple of 84316 and 84336