What is the Greatest Common Factor of 94320 and 94336?

Greatest common factor (GCF) of 94320 and 94336 is 16.

GCF(94320,94336) = 16

We will now calculate the prime factors of 94320 and 94336, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94320 and 94336.

How to find the GCF of 94320 and 94336?

We will first find the prime factorization of 94320 and 94336. After we will calculate the factors of 94320 and 94336 and find the biggest common factor number .

Step-1: Prime Factorization of 94320

Prime factors of 94320 are 2, 3, 5, 131. Prime factorization of 94320 in exponential form is:

94320 = 2⁴ × 3² × 5¹ × 131¹

Step-2: 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-3: Factors of 94320

List of positive integer factors of 94320 that divides 94320 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 131, 144, 180, 240, 262, 360, 393, 524, 655, 720, 786, 1048, 1179, 1310, 1572, 1965, 2096, 2358, 2620, 3144, 3930, 4716, 5240, 5895, 6288, 7860, 9432, 10480, 11790, 15720, 18864, 23580, 31440, 47160

Step-4: Factors of 94336

List of positive integer factors of 94336 that divides 94320 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94320 and 94336. The biggest common factor number is the GCF number.
So the greatest common factor 94320 and 94336 is 16.

Also check out the Least Common Multiple of 94320 and 94336