What is the Greatest Common Factor of 94304 and 94320?

Greatest common factor (GCF) of 94304 and 94320 is 16.

GCF(94304,94320) = 16

We will now calculate the prime factors of 94304 and 94320, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94304 and 94320.

How to find the GCF of 94304 and 94320?

We will first find the prime factorization of 94304 and 94320. After we will calculate the factors of 94304 and 94320 and find the biggest common factor number .

Step-1: Prime Factorization of 94304

Prime factors of 94304 are 2, 7, 421. Prime factorization of 94304 in exponential form is:

94304 = 2⁵ × 7¹ × 421¹

Step-2: 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-3: Factors of 94304

List of positive integer factors of 94304 that divides 94304 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224, 421, 842, 1684, 2947, 3368, 5894, 6736, 11788, 13472, 23576, 47152

Step-4: Factors of 94320

List of positive integer factors of 94320 that divides 94304 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94304 and 94320. The biggest common factor number is the GCF number.
So the greatest common factor 94304 and 94320 is 16.

Also check out the Least Common Multiple of 94304 and 94320