What is the Greatest Common Factor of 94656 and 94676?

Greatest common factor (GCF) of 94656 and 94676 is 4.

GCF(94656,94676) = 4

We will now calculate the prime factors of 94656 and 94676, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94656 and 94676.

How to find the GCF of 94656 and 94676?

We will first find the prime factorization of 94656 and 94676. After we will calculate the factors of 94656 and 94676 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 94676

Prime factors of 94676 are 2, 23669. Prime factorization of 94676 in exponential form is:

94676 = 2² × 23669¹

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 94676

List of positive integer factors of 94676 that divides 94656 without a remainder.

1, 2, 4, 23669, 47338

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94656 and 94676. The biggest common factor number is the GCF number.
So the greatest common factor 94656 and 94676 is 4.

Also check out the Least Common Multiple of 94656 and 94676