What is the Greatest Common Factor of 27459 and 27477?

Greatest common factor (GCF) of 27459 and 27477 is 9.

GCF(27459,27477) = 9

We will now calculate the prime factors of 27459 and 27477, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27459 and 27477.

How to find the GCF of 27459 and 27477?

We will first find the prime factorization of 27459 and 27477. After we will calculate the factors of 27459 and 27477 and find the biggest common factor number .

Step-1: Prime Factorization of 27459

Prime factors of 27459 are 3, 113. Prime factorization of 27459 in exponential form is:

27459 = 3⁵ × 113¹

Step-2: Prime Factorization of 27477

Prime factors of 27477 are 3, 43, 71. Prime factorization of 27477 in exponential form is:

27477 = 3² × 43¹ × 71¹

Step-3: Factors of 27459

List of positive integer factors of 27459 that divides 27459 without a remainder.

1, 3, 9, 27, 81, 113, 243, 339, 1017, 3051, 9153

Step-4: Factors of 27477

List of positive integer factors of 27477 that divides 27459 without a remainder.

1, 3, 9, 43, 71, 129, 213, 387, 639, 3053, 9159

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27459 and 27477. The biggest common factor number is the GCF number.
So the greatest common factor 27459 and 27477 is 9.

Also check out the Least Common Multiple of 27459 and 27477