What is the Greatest Common Factor of 27849 and 27867?

Greatest common factor (GCF) of 27849 and 27867 is 3.

GCF(27849,27867) = 3

We will now calculate the prime factors of 27849 and 27867, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27849 and 27867.

How to find the GCF of 27849 and 27867?

We will first find the prime factorization of 27849 and 27867. After we will calculate the factors of 27849 and 27867 and find the biggest common factor number .

Step-1: Prime Factorization of 27849

Prime factors of 27849 are 3, 9283. Prime factorization of 27849 in exponential form is:

27849 = 3¹ × 9283¹

Step-2: Prime Factorization of 27867

Prime factors of 27867 are 3, 7, 1327. Prime factorization of 27867 in exponential form is:

27867 = 3¹ × 7¹ × 1327¹

Step-3: Factors of 27849

List of positive integer factors of 27849 that divides 27849 without a remainder.

1, 3, 9283

Step-4: Factors of 27867

List of positive integer factors of 27867 that divides 27849 without a remainder.

1, 3, 7, 21, 1327, 3981, 9289

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27849 and 27867. The biggest common factor number is the GCF number.
So the greatest common factor 27849 and 27867 is 3.

Also check out the Least Common Multiple of 27849 and 27867