What is the Greatest Common Factor of 76400 and 76405?

Greatest common factor (GCF) of 76400 and 76405 is 5.

GCF(76400,76405) = 5

We will now calculate the prime factors of 76400 and 76405, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76400 and 76405.

How to find the GCF of 76400 and 76405?

We will first find the prime factorization of 76400 and 76405. After we will calculate the factors of 76400 and 76405 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 76405

Prime factors of 76405 are 5, 7, 37, 59. Prime factorization of 76405 in exponential form is:

76405 = 5¹ × 7¹ × 37¹ × 59¹

Step-3: Factors of 76400

List of positive integer factors of 76400 that divides 76400 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

Step-4: Factors of 76405

List of positive integer factors of 76405 that divides 76400 without a remainder.

1, 5, 7, 35, 37, 59, 185, 259, 295, 413, 1295, 2065, 2183, 10915, 15281

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76400 and 76405. The biggest common factor number is the GCF number.
So the greatest common factor 76400 and 76405 is 5.

Also check out the Least Common Multiple of 76400 and 76405