What is the Greatest Common Factor of 76395 and 76400?

Greatest common factor (GCF) of 76395 and 76400 is 5.

GCF(76395,76400) = 5

We will now calculate the prime factors of 76395 and 76400, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76395 and 76400.

How to find the GCF of 76395 and 76400?

We will first find the prime factorization of 76395 and 76400. After we will calculate the factors of 76395 and 76400 and find the biggest common factor number .

Step-1: Prime Factorization of 76395

Prime factors of 76395 are 3, 5, 11, 463. Prime factorization of 76395 in exponential form is:

76395 = 3¹ × 5¹ × 11¹ × 463¹

Step-2: Prime Factorization of 76400

Prime factors of 76400 are 2, 5, 191. Prime factorization of 76400 in exponential form is:

76400 = 2⁴ × 5² × 191¹

Step-3: Factors of 76395

List of positive integer factors of 76395 that divides 76395 without a remainder.

1, 3, 5, 11, 15, 33, 55, 165, 463, 1389, 2315, 5093, 6945, 15279, 25465

Step-4: Factors of 76400

List of positive integer factors of 76400 that divides 76395 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 191, 200, 382, 400, 764, 955, 1528, 1910, 3056, 3820, 4775, 7640, 9550, 15280, 19100, 38200

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76395 and 76400. The biggest common factor number is the GCF number.
So the greatest common factor 76395 and 76400 is 5.

Also check out the Least Common Multiple of 76395 and 76400