What is the Greatest Common Factor of 27405 and 27409?

Greatest common factor (GCF) of 27405 and 27409 is 1.

GCF(27405,27409) = 1

We will now calculate the prime factors of 27405 and 27409, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27405 and 27409.

How to find the GCF of 27405 and 27409?

We will first find the prime factorization of 27405 and 27409. After we will calculate the factors of 27405 and 27409 and find the biggest common factor number .

Step-1: Prime Factorization of 27405

Prime factors of 27405 are 3, 5, 7, 29. Prime factorization of 27405 in exponential form is:

27405 = 3³ × 5¹ × 7¹ × 29¹

Step-2: Prime Factorization of 27409

Prime factors of 27409 are 27409. Prime factorization of 27409 in exponential form is:

27409 = 27409¹

Step-3: Factors of 27405

List of positive integer factors of 27405 that divides 27405 without a remainder.

1, 3, 5, 7, 9, 15, 21, 27, 29, 35, 45, 63, 87, 105, 135, 145, 189, 203, 261, 315, 435, 609, 783, 945, 1015, 1305, 1827, 3045, 3915, 5481, 9135

Step-4: Factors of 27409

List of positive integer factors of 27409 that divides 27405 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27405 and 27409. The biggest common factor number is the GCF number.
So the greatest common factor 27405 and 27409 is 1.

Also check out the Least Common Multiple of 27405 and 27409