What is the Greatest Common Factor of 84322 and 84336?

Greatest common factor (GCF) of 84322 and 84336 is 14.

GCF(84322,84336) = 14

We will now calculate the prime factors of 84322 and 84336, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84322 and 84336.

How to find the GCF of 84322 and 84336?

We will first find the prime factorization of 84322 and 84336. After we will calculate the factors of 84322 and 84336 and find the biggest common factor number .

Step-1: Prime Factorization of 84322

Prime factors of 84322 are 2, 7, 19, 317. Prime factorization of 84322 in exponential form is:

84322 = 2¹ × 7¹ × 19¹ × 317¹

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 84322

List of positive integer factors of 84322 that divides 84322 without a remainder.

1, 2, 7, 14, 19, 38, 133, 266, 317, 634, 2219, 4438, 6023, 12046, 42161

Step-4: Factors of 84336

List of positive integer factors of 84336 that divides 84322 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 84322 and 84336. The biggest common factor number is the GCF number.
So the greatest common factor 84322 and 84336 is 14.

Also check out the Least Common Multiple of 84322 and 84336