What is the Greatest Common Factor of 94336 and 94352?

Greatest common factor (GCF) of 94336 and 94352 is 16.

GCF(94336,94352) = 16

We will now calculate the prime factors of 94336 and 94352, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94336 and 94352.

How to find the GCF of 94336 and 94352?

We will first find the prime factorization of 94336 and 94352. After we will calculate the factors of 94336 and 94352 and find the biggest common factor number .

Step-1: Prime Factorization of 94336

Prime factors of 94336 are 2, 11, 67. Prime factorization of 94336 in exponential form is:

94336 = 2⁷ × 11¹ × 67¹

Step-2: Prime Factorization of 94352

Prime factors of 94352 are 2, 5897. Prime factorization of 94352 in exponential form is:

94352 = 2⁴ × 5897¹

Step-3: Factors of 94336

List of positive integer factors of 94336 that divides 94336 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 67, 88, 128, 134, 176, 268, 352, 536, 704, 737, 1072, 1408, 1474, 2144, 2948, 4288, 5896, 8576, 11792, 23584, 47168

Step-4: Factors of 94352

List of positive integer factors of 94352 that divides 94336 without a remainder.

1, 2, 4, 8, 16, 5897, 11794, 23588, 47176

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94336 and 94352. The biggest common factor number is the GCF number.
So the greatest common factor 94336 and 94352 is 16.

Also check out the Least Common Multiple of 94336 and 94352