What is the Greatest Common Factor of 96768 and 96776?

Greatest common factor (GCF) of 96768 and 96776 is 8.

GCF(96768,96776) = 8

We will now calculate the prime factors of 96768 and 96776, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96768 and 96776.

How to find the GCF of 96768 and 96776?

We will first find the prime factorization of 96768 and 96776. After we will calculate the factors of 96768 and 96776 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 96776

Prime factors of 96776 are 2, 12097. Prime factorization of 96776 in exponential form is:

96776 = 2³ × 12097¹

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 96776

List of positive integer factors of 96776 that divides 96768 without a remainder.

1, 2, 4, 8, 12097, 24194, 48388

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96768 and 96776. The biggest common factor number is the GCF number.
So the greatest common factor 96768 and 96776 is 8.

Also check out the Least Common Multiple of 96768 and 96776