What is the Greatest Common Factor of 28405 and 28409?

Greatest common factor (GCF) of 28405 and 28409 is 1.

GCF(28405,28409) = 1

We will now calculate the prime factors of 28405 and 28409, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28405 and 28409.

How to find the GCF of 28405 and 28409?

We will first find the prime factorization of 28405 and 28409. After we will calculate the factors of 28405 and 28409 and find the biggest common factor number .

Step-1: Prime Factorization of 28405

Prime factors of 28405 are 5, 13, 19, 23. Prime factorization of 28405 in exponential form is:

28405 = 5¹ × 13¹ × 19¹ × 23¹

Step-2: Prime Factorization of 28409

Prime factors of 28409 are 28409. Prime factorization of 28409 in exponential form is:

28409 = 28409¹

Step-3: Factors of 28405

List of positive integer factors of 28405 that divides 28405 without a remainder.

1, 5, 13, 19, 23, 65, 95, 115, 247, 299, 437, 1235, 1495, 2185, 5681

Step-4: Factors of 28409

List of positive integer factors of 28409 that divides 28405 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28405 and 28409. The biggest common factor number is the GCF number.
So the greatest common factor 28405 and 28409 is 1.

Also check out the Least Common Multiple of 28405 and 28409