What is the Greatest Common Factor of 48405 and 48409?

Greatest common factor (GCF) of 48405 and 48409 is 1.

GCF(48405,48409) = 1

We will now calculate the prime factors of 48405 and 48409, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48405 and 48409.

How to find the GCF of 48405 and 48409?

We will first find the prime factorization of 48405 and 48409. After we will calculate the factors of 48405 and 48409 and find the biggest common factor number .

Step-1: Prime Factorization of 48405

Prime factors of 48405 are 3, 5, 7, 461. Prime factorization of 48405 in exponential form is:

48405 = 3¹ × 5¹ × 7¹ × 461¹

Step-2: Prime Factorization of 48409

Prime factors of 48409 are 48409. Prime factorization of 48409 in exponential form is:

48409 = 48409¹

Step-3: Factors of 48405

List of positive integer factors of 48405 that divides 48405 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105, 461, 1383, 2305, 3227, 6915, 9681, 16135

Step-4: Factors of 48409

List of positive integer factors of 48409 that divides 48405 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48405 and 48409. The biggest common factor number is the GCF number.
So the greatest common factor 48405 and 48409 is 1.

Also check out the Least Common Multiple of 48405 and 48409