What is the Greatest Common Factor of 96768 and 96774?

Greatest common factor (GCF) of 96768 and 96774 is 6.

GCF(96768,96774) = 6

We will now calculate the prime factors of 96768 and 96774, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96768 and 96774.

How to find the GCF of 96768 and 96774?

We will first find the prime factorization of 96768 and 96774. After we will calculate the factors of 96768 and 96774 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 96774

Prime factors of 96774 are 2, 3, 127. Prime factorization of 96774 in exponential form is:

96774 = 2¹ × 3¹ × 127²

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 96774

List of positive integer factors of 96774 that divides 96768 without a remainder.

1, 2, 3, 6, 127, 254, 381, 762, 16129, 32258, 48387

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96768 and 96774. The biggest common factor number is the GCF number.
So the greatest common factor 96768 and 96774 is 6.

Also check out the Least Common Multiple of 96768 and 96774