What is the Greatest Common Factor of 94656 and 94665?

Greatest common factor (GCF) of 94656 and 94665 is 3.

GCF(94656,94665) = 3

We will now calculate the prime factors of 94656 and 94665, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94656 and 94665.

How to find the GCF of 94656 and 94665?

We will first find the prime factorization of 94656 and 94665. After we will calculate the factors of 94656 and 94665 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 94665

Prime factors of 94665 are 3, 5, 6311. Prime factorization of 94665 in exponential form is:

94665 = 3¹ × 5¹ × 6311¹

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 94665

List of positive integer factors of 94665 that divides 94656 without a remainder.

1, 3, 5, 15, 6311, 18933, 31555

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94656 and 94665. The biggest common factor number is the GCF number.
So the greatest common factor 94656 and 94665 is 3.

Also check out the Least Common Multiple of 94656 and 94665