What is the Greatest Common Factor of 66400 and 66409?

Greatest common factor (GCF) of 66400 and 66409 is 1.

GCF(66400,66409) = 1

We will now calculate the prime factors of 66400 and 66409, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66400 and 66409.

How to find the GCF of 66400 and 66409?

We will first find the prime factorization of 66400 and 66409. After we will calculate the factors of 66400 and 66409 and find the biggest common factor number .

Step-1: Prime Factorization of 66400

Prime factors of 66400 are 2, 5, 83. Prime factorization of 66400 in exponential form is:

66400 = 2⁵ × 5² × 83¹

Step-2: Prime Factorization of 66409

Prime factors of 66409 are 7, 53, 179. Prime factorization of 66409 in exponential form is:

66409 = 7¹ × 53¹ × 179¹

Step-3: Factors of 66400

List of positive integer factors of 66400 that divides 66400 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 83, 100, 160, 166, 200, 332, 400, 415, 664, 800, 830, 1328, 1660, 2075, 2656, 3320, 4150, 6640, 8300, 13280, 16600, 33200

Step-4: Factors of 66409

List of positive integer factors of 66409 that divides 66400 without a remainder.

1, 7, 53, 179, 371, 1253, 9487

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66400 and 66409. The biggest common factor number is the GCF number.
So the greatest common factor 66400 and 66409 is 1.

Also check out the Least Common Multiple of 66400 and 66409