What is the Greatest Common Factor of 76400 and 76409?

Greatest common factor (GCF) of 76400 and 76409 is 1.

GCF(76400,76409) = 1

We will now calculate the prime factors of 76400 and 76409, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76400 and 76409.

How to find the GCF of 76400 and 76409?

We will first find the prime factorization of 76400 and 76409. After we will calculate the factors of 76400 and 76409 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 76409

Prime factors of 76409 are 109, 701. Prime factorization of 76409 in exponential form is:

76409 = 109¹ × 701¹

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 76409

List of positive integer factors of 76409 that divides 76400 without a remainder.

1, 109, 701

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76400 and 76409. The biggest common factor number is the GCF number.
So the greatest common factor 76400 and 76409 is 1.

Also check out the Least Common Multiple of 76400 and 76409