What is the Greatest Common Factor of 96768 and 96783?

Greatest common factor (GCF) of 96768 and 96783 is 3.

GCF(96768,96783) = 3

We will now calculate the prime factors of 96768 and 96783, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96768 and 96783.

How to find the GCF of 96768 and 96783?

We will first find the prime factorization of 96768 and 96783. After we will calculate the factors of 96768 and 96783 and find the biggest common factor number .

Step-1: Prime Factorization of 96768

Prime factors of 96768 are 2, 3, 7. Prime factorization of 96768 in exponential form is:

96768 = 2⁹ × 3³ × 7¹

Step-2: Prime Factorization of 96783

Prime factors of 96783 are 3, 32261. Prime factorization of 96783 in exponential form is:

96783 = 3¹ × 32261¹

Step-3: Factors of 96768

List of positive integer factors of 96768 that divides 96768 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 27, 28, 32, 36, 42, 48, 54, 56, 63, 64, 72, 84, 96, 108, 112, 126, 128, 144, 168, 189, 192, 216, 224, 252, 256, 288, 336, 378, 384, 432, 448, 504, 512, 576, 672, 756, 768, 864, 896, 1008, 1152, 1344, 1512, 1536, 1728, 1792, 2016, 2304, 2688, 3024, 3456, 3584, 4032, 4608, 5376, 6048, 6912, 8064, 10752, 12096, 13824, 16128, 24192, 32256, 48384

Step-4: Factors of 96783

List of positive integer factors of 96783 that divides 96768 without a remainder.

1, 3, 32261

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96768 and 96783. The biggest common factor number is the GCF number.
So the greatest common factor 96768 and 96783 is 3.

Also check out the Least Common Multiple of 96768 and 96783