What is the Greatest Common Factor of 76896 and 76905?

Greatest common factor (GCF) of 76896 and 76905 is 9.

GCF(76896,76905) = 9

We will now calculate the prime factors of 76896 and 76905, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76896 and 76905.

How to find the GCF of 76896 and 76905?

We will first find the prime factorization of 76896 and 76905. After we will calculate the factors of 76896 and 76905 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 76905

Prime factors of 76905 are 3, 5, 1709. Prime factorization of 76905 in exponential form is:

76905 = 3² × 5¹ × 1709¹

Step-3: Factors of 76896

List of positive integer factors of 76896 that divides 76896 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

Step-4: Factors of 76905

List of positive integer factors of 76905 that divides 76896 without a remainder.

1, 3, 5, 9, 15, 45, 1709, 5127, 8545, 15381, 25635

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76896 and 76905. The biggest common factor number is the GCF number.
So the greatest common factor 76896 and 76905 is 9.

Also check out the Least Common Multiple of 76896 and 76905