What is the Greatest Common Factor of 84336 and 84352?

Greatest common factor (GCF) of 84336 and 84352 is 16.

GCF(84336,84352) = 16

We will now calculate the prime factors of 84336 and 84352, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84336 and 84352.

How to find the GCF of 84336 and 84352?

We will first find the prime factorization of 84336 and 84352. After we will calculate the factors of 84336 and 84352 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 84352

Prime factors of 84352 are 2, 659. Prime factorization of 84352 in exponential form is:

84352 = 2⁷ × 659¹

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 84352

List of positive integer factors of 84352 that divides 84336 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 659, 1318, 2636, 5272, 10544, 21088, 42176

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84336 and 84352. The biggest common factor number is the GCF number.
So the greatest common factor 84336 and 84352 is 16.

Also check out the Least Common Multiple of 84336 and 84352