What is the Greatest Common Factor of 94336 and 94347?

Greatest common factor (GCF) of 94336 and 94347 is 11.

GCF(94336,94347) = 11

We will now calculate the prime factors of 94336 and 94347, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94336 and 94347.

How to find the GCF of 94336 and 94347?

We will first find the prime factorization of 94336 and 94347. After we will calculate the factors of 94336 and 94347 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 94347

Prime factors of 94347 are 3, 11, 953. Prime factorization of 94347 in exponential form is:

94347 = 3² × 11¹ × 953¹

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 94347

List of positive integer factors of 94347 that divides 94336 without a remainder.

1, 3, 9, 11, 33, 99, 953, 2859, 8577, 10483, 31449

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94336 and 94347. The biggest common factor number is the GCF number.
So the greatest common factor 94336 and 94347 is 11.

Also check out the Least Common Multiple of 94336 and 94347