What is the Greatest Common Factor of 84336 and 84350?

Greatest common factor (GCF) of 84336 and 84350 is 14.

GCF(84336,84350) = 14

We will now calculate the prime factors of 84336 and 84350, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84336 and 84350.

How to find the GCF of 84336 and 84350?

We will first find the prime factorization of 84336 and 84350. After we will calculate the factors of 84336 and 84350 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 84350

Prime factors of 84350 are 2, 5, 7, 241. Prime factorization of 84350 in exponential form is:

84350 = 2¹ × 5² × 7¹ × 241¹

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 84350

List of positive integer factors of 84350 that divides 84336 without a remainder.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 241, 350, 482, 1205, 1687, 2410, 3374, 6025, 8435, 12050, 16870, 42175

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84336 and 84350. The biggest common factor number is the GCF number.
So the greatest common factor 84336 and 84350 is 14.

Also check out the Least Common Multiple of 84336 and 84350