What is the Greatest Common Factor of 76895 and 76908?

Greatest common factor (GCF) of 76895 and 76908 is 13.

GCF(76895,76908) = 13

We will now calculate the prime factors of 76895 and 76908, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76895 and 76908.

How to find the GCF of 76895 and 76908?

We will first find the prime factorization of 76895 and 76908. After we will calculate the factors of 76895 and 76908 and find the biggest common factor number .

Step-1: Prime Factorization of 76895

Prime factors of 76895 are 5, 7, 13. Prime factorization of 76895 in exponential form is:

76895 = 5¹ × 7¹ × 13³

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 76895

List of positive integer factors of 76895 that divides 76895 without a remainder.

1, 5, 7, 13, 35, 65, 91, 169, 455, 845, 1183, 2197, 5915, 10985, 15379

Step-4: Factors of 76908

List of positive integer factors of 76908 that divides 76895 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 76895 and 76908. The biggest common factor number is the GCF number.
So the greatest common factor 76895 and 76908 is 13.

Also check out the Least Common Multiple of 76895 and 76908