What is the Greatest Common Factor of 27459 and 27466?

Greatest common factor (GCF) of 27459 and 27466 is 1.

GCF(27459,27466) = 1

We will now calculate the prime factors of 27459 and 27466, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27459 and 27466.

How to find the GCF of 27459 and 27466?

We will first find the prime factorization of 27459 and 27466. After we will calculate the factors of 27459 and 27466 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 27466

Prime factors of 27466 are 2, 31, 443. Prime factorization of 27466 in exponential form is:

27466 = 2¹ × 31¹ × 443¹

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 27466

List of positive integer factors of 27466 that divides 27459 without a remainder.

1, 2, 31, 62, 443, 886, 13733

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27459 and 27466. The biggest common factor number is the GCF number.
So the greatest common factor 27459 and 27466 is 1.

Also check out the Least Common Multiple of 27459 and 27466