What is the Greatest Common Factor of 27405 and 27423?

Greatest common factor (GCF) of 27405 and 27423 is 9.

GCF(27405,27423) = 9

We will now calculate the prime factors of 27405 and 27423, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27405 and 27423.

How to find the GCF of 27405 and 27423?

We will first find the prime factorization of 27405 and 27423. After we will calculate the factors of 27405 and 27423 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 27423

Prime factors of 27423 are 3, 11, 277. Prime factorization of 27423 in exponential form is:

27423 = 3² × 11¹ × 277¹

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 27423

List of positive integer factors of 27423 that divides 27405 without a remainder.

1, 3, 9, 11, 33, 99, 277, 831, 2493, 3047, 9141

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27405 and 27423. The biggest common factor number is the GCF number.
So the greatest common factor 27405 and 27423 is 9.

Also check out the Least Common Multiple of 27405 and 27423