What is the Greatest Common Factor of 27405 and 27415?

Greatest common factor (GCF) of 27405 and 27415 is 5.

GCF(27405,27415) = 5

We will now calculate the prime factors of 27405 and 27415, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27405 and 27415.

How to find the GCF of 27405 and 27415?

We will first find the prime factorization of 27405 and 27415. After we will calculate the factors of 27405 and 27415 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 27415

Prime factors of 27415 are 5, 5483. Prime factorization of 27415 in exponential form is:

27415 = 5¹ × 5483¹

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 27415

List of positive integer factors of 27415 that divides 27405 without a remainder.

1, 5, 5483

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27405 and 27415. The biggest common factor number is the GCF number.
So the greatest common factor 27405 and 27415 is 5.

Also check out the Least Common Multiple of 27405 and 27415