What is the Greatest Common Factor of 96754 and 96768?

Greatest common factor (GCF) of 96754 and 96768 is 14.

GCF(96754,96768) = 14

We will now calculate the prime factors of 96754 and 96768, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96754 and 96768.

How to find the GCF of 96754 and 96768?

We will first find the prime factorization of 96754 and 96768. After we will calculate the factors of 96754 and 96768 and find the biggest common factor number .

Step-1: Prime Factorization of 96754

Prime factors of 96754 are 2, 7, 6911. Prime factorization of 96754 in exponential form is:

96754 = 2¹ × 7¹ × 6911¹

Step-2: 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-3: Factors of 96754

List of positive integer factors of 96754 that divides 96754 without a remainder.

1, 2, 7, 14, 6911, 13822, 48377

Step-4: Factors of 96768

List of positive integer factors of 96768 that divides 96754 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96754 and 96768. The biggest common factor number is the GCF number.
So the greatest common factor 96754 and 96768 is 14.

Also check out the Least Common Multiple of 96754 and 96768