What is the Greatest Common Factor of 76905 and 76923?

Greatest common factor (GCF) of 76905 and 76923 is 9.

GCF(76905,76923) = 9

We will now calculate the prime factors of 76905 and 76923, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76905 and 76923.

How to find the GCF of 76905 and 76923?

We will first find the prime factorization of 76905 and 76923. After we will calculate the factors of 76905 and 76923 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 76923

Prime factors of 76923 are 3, 7, 11, 37. Prime factorization of 76923 in exponential form is:

76923 = 3³ × 7¹ × 11¹ × 37¹

Step-3: Factors of 76905

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

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

Step-4: Factors of 76923

List of positive integer factors of 76923 that divides 76905 without a remainder.

1, 3, 7, 9, 11, 21, 27, 33, 37, 63, 77, 99, 111, 189, 231, 259, 297, 333, 407, 693, 777, 999, 1221, 2079, 2331, 2849, 3663, 6993, 8547, 10989, 25641

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76905 and 76923. The biggest common factor number is the GCF number.
So the greatest common factor 76905 and 76923 is 9.

Also check out the Least Common Multiple of 76905 and 76923