What is the Greatest Common Factor of 94656 and 94672?

Greatest common factor (GCF) of 94656 and 94672 is 16.

GCF(94656,94672) = 16

We will now calculate the prime factors of 94656 and 94672, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94656 and 94672.

How to find the GCF of 94656 and 94672?

We will first find the prime factorization of 94656 and 94672. After we will calculate the factors of 94656 and 94672 and find the biggest common factor number .

Step-1: Prime Factorization of 94656

Prime factors of 94656 are 2, 3, 17, 29. Prime factorization of 94656 in exponential form is:

94656 = 2⁶ × 3¹ × 17¹ × 29¹

Step-2: Prime Factorization of 94672

Prime factors of 94672 are 2, 61, 97. Prime factorization of 94672 in exponential form is:

94672 = 2⁴ × 61¹ × 97¹

Step-3: Factors of 94656

List of positive integer factors of 94656 that divides 94656 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 29, 32, 34, 48, 51, 58, 64, 68, 87, 96, 102, 116, 136, 174, 192, 204, 232, 272, 348, 408, 464, 493, 544, 696, 816, 928, 986, 1088, 1392, 1479, 1632, 1856, 1972, 2784, 2958, 3264, 3944, 5568, 5916, 7888, 11832, 15776, 23664, 31552, 47328

Step-4: Factors of 94672

List of positive integer factors of 94672 that divides 94656 without a remainder.

1, 2, 4, 8, 16, 61, 97, 122, 194, 244, 388, 488, 776, 976, 1552, 5917, 11834, 23668, 47336

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94656 and 94672. The biggest common factor number is the GCF number.
So the greatest common factor 94656 and 94672 is 16.

Also check out the Least Common Multiple of 94656 and 94672