What is the Greatest Common Factor of 76908 and 76925?

Greatest common factor (GCF) of 76908 and 76925 is 17.

GCF(76908,76925) = 17

We will now calculate the prime factors of 76908 and 76925, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76908 and 76925.

How to find the GCF of 76908 and 76925?

We will first find the prime factorization of 76908 and 76925. After we will calculate the factors of 76908 and 76925 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 76925

Prime factors of 76925 are 5, 17, 181. Prime factorization of 76925 in exponential form is:

76925 = 5² × 17¹ × 181¹

Step-3: Factors of 76908

List of positive integer factors of 76908 that divides 76908 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

Step-4: Factors of 76925

List of positive integer factors of 76925 that divides 76908 without a remainder.

1, 5, 17, 25, 85, 181, 425, 905, 3077, 4525, 15385

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76908 and 76925. The biggest common factor number is the GCF number.
So the greatest common factor 76908 and 76925 is 17.

Also check out the Least Common Multiple of 76908 and 76925