What is the Greatest Common Factor of 76899 and 76908?

Greatest common factor (GCF) of 76899 and 76908 is 3.

GCF(76899,76908) = 3

We will now calculate the prime factors of 76899 and 76908, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76899 and 76908.

How to find the GCF of 76899 and 76908?

We will first find the prime factorization of 76899 and 76908. After we will calculate the factors of 76899 and 76908 and find the biggest common factor number .

Step-1: Prime Factorization of 76899

Prime factors of 76899 are 3, 25633. Prime factorization of 76899 in exponential form is:

76899 = 3¹ × 25633¹

Step-2: Prime Factorization of 76908

Prime factors of 76908 are 2, 3, 13, 17, 29. Prime factorization of 76908 in exponential form is:

76908 = 2² × 3¹ × 13¹ × 17¹ × 29¹

Step-3: Factors of 76899

List of positive integer factors of 76899 that divides 76899 without a remainder.

1, 3, 25633

Step-4: Factors of 76908

List of positive integer factors of 76908 that divides 76899 without a remainder.

1, 2, 3, 4, 6, 12, 13, 17, 26, 29, 34, 39, 51, 52, 58, 68, 78, 87, 102, 116, 156, 174, 204, 221, 348, 377, 442, 493, 663, 754, 884, 986, 1131, 1326, 1479, 1508, 1972, 2262, 2652, 2958, 4524, 5916, 6409, 12818, 19227, 25636, 38454

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76899 and 76908. The biggest common factor number is the GCF number.
So the greatest common factor 76899 and 76908 is 3.

Also check out the Least Common Multiple of 76899 and 76908