What is the Greatest Common Factor of 94647 and 94656?

Greatest common factor (GCF) of 94647 and 94656 is 3.

GCF(94647,94656) = 3

We will now calculate the prime factors of 94647 and 94656, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94647 and 94656.

How to find the GCF of 94647 and 94656?

We will first find the prime factorization of 94647 and 94656. After we will calculate the factors of 94647 and 94656 and find the biggest common factor number .

Step-1: Prime Factorization of 94647

Prime factors of 94647 are 3, 7, 4507. Prime factorization of 94647 in exponential form is:

94647 = 3¹ × 7¹ × 4507¹

Step-2: 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-3: Factors of 94647

List of positive integer factors of 94647 that divides 94647 without a remainder.

1, 3, 7, 21, 4507, 13521, 31549

Step-4: Factors of 94656

List of positive integer factors of 94656 that divides 94647 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94647 and 94656. The biggest common factor number is the GCF number.
So the greatest common factor 94647 and 94656 is 3.

Also check out the Least Common Multiple of 94647 and 94656