What is the Greatest Common Factor of 94644 and 94656?

Greatest common factor (GCF) of 94644 and 94656 is 12.

GCF(94644,94656) = 12

We will now calculate the prime factors of 94644 and 94656, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94644 and 94656.

How to find the GCF of 94644 and 94656?

We will first find the prime factorization of 94644 and 94656. After we will calculate the factors of 94644 and 94656 and find the biggest common factor number .

Step-1: Prime Factorization of 94644

Prime factors of 94644 are 2, 3, 11, 239. Prime factorization of 94644 in exponential form is:

94644 = 2² × 3² × 11¹ × 239¹

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 94644

List of positive integer factors of 94644 that divides 94644 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 239, 396, 478, 717, 956, 1434, 2151, 2629, 2868, 4302, 5258, 7887, 8604, 10516, 15774, 23661, 31548, 47322

Step-4: Factors of 94656

List of positive integer factors of 94656 that divides 94644 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 94644 and 94656. The biggest common factor number is the GCF number.
So the greatest common factor 94644 and 94656 is 12.

Also check out the Least Common Multiple of 94644 and 94656