What is the Greatest Common Factor of 27549 and 27563?

Greatest common factor (GCF) of 27549 and 27563 is 1.

GCF(27549,27563) = 1

We will now calculate the prime factors of 27549 and 27563, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27549 and 27563.

How to find the GCF of 27549 and 27563?

We will first find the prime factorization of 27549 and 27563. After we will calculate the factors of 27549 and 27563 and find the biggest common factor number .

Step-1: Prime Factorization of 27549

Prime factors of 27549 are 3, 3061. Prime factorization of 27549 in exponential form is:

27549 = 3² × 3061¹

Step-2: Prime Factorization of 27563

Prime factors of 27563 are 43, 641. Prime factorization of 27563 in exponential form is:

27563 = 43¹ × 641¹

Step-3: Factors of 27549

List of positive integer factors of 27549 that divides 27549 without a remainder.

1, 3, 9, 3061, 9183

Step-4: Factors of 27563

List of positive integer factors of 27563 that divides 27549 without a remainder.

1, 43, 641

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27549 and 27563. The biggest common factor number is the GCF number.
So the greatest common factor 27549 and 27563 is 1.

Also check out the Least Common Multiple of 27549 and 27563