What is the Greatest Common Factor of 96768 and 96787?

Greatest common factor (GCF) of 96768 and 96787 is 1.

GCF(96768,96787) = 1

We will now calculate the prime factors of 96768 and 96787, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96768 and 96787.

How to find the GCF of 96768 and 96787?

We will first find the prime factorization of 96768 and 96787. After we will calculate the factors of 96768 and 96787 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 96787

Prime factors of 96787 are 96787. Prime factorization of 96787 in exponential form is:

96787 = 96787¹

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 96787

List of positive integer factors of 96787 that divides 96768 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96768 and 96787. The biggest common factor number is the GCF number.
So the greatest common factor 96768 and 96787 is 1.

Also check out the Least Common Multiple of 96768 and 96787