What is the Greatest Common Factor of 76887 and 76896?

Greatest common factor (GCF) of 76887 and 76896 is 9.

GCF(76887,76896) = 9

We will now calculate the prime factors of 76887 and 76896, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76887 and 76896.

How to find the GCF of 76887 and 76896?

We will first find the prime factorization of 76887 and 76896. After we will calculate the factors of 76887 and 76896 and find the biggest common factor number .

Step-1: Prime Factorization of 76887

Prime factors of 76887 are 3, 8543. Prime factorization of 76887 in exponential form is:

76887 = 3² × 8543¹

Step-2: Prime Factorization of 76896

Prime factors of 76896 are 2, 3, 89. Prime factorization of 76896 in exponential form is:

76896 = 2⁵ × 3³ × 89¹

Step-3: Factors of 76887

List of positive integer factors of 76887 that divides 76887 without a remainder.

1, 3, 9, 8543, 25629

Step-4: Factors of 76896

List of positive integer factors of 76896 that divides 76887 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 89, 96, 108, 144, 178, 216, 267, 288, 356, 432, 534, 712, 801, 864, 1068, 1424, 1602, 2136, 2403, 2848, 3204, 4272, 4806, 6408, 8544, 9612, 12816, 19224, 25632, 38448

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76887 and 76896. The biggest common factor number is the GCF number.
So the greatest common factor 76887 and 76896 is 9.

Also check out the Least Common Multiple of 76887 and 76896