What is the Greatest Common Factor of 27813 and 27831?

Greatest common factor (GCF) of 27813 and 27831 is 3.

GCF(27813,27831) = 3

We will now calculate the prime factors of 27813 and 27831, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27813 and 27831.

How to find the GCF of 27813 and 27831?

We will first find the prime factorization of 27813 and 27831. After we will calculate the factors of 27813 and 27831 and find the biggest common factor number .

Step-1: Prime Factorization of 27813

Prime factors of 27813 are 3, 73, 127. Prime factorization of 27813 in exponential form is:

27813 = 3¹ × 73¹ × 127¹

Step-2: Prime Factorization of 27831

Prime factors of 27831 are 3, 9277. Prime factorization of 27831 in exponential form is:

27831 = 3¹ × 9277¹

Step-3: Factors of 27813

List of positive integer factors of 27813 that divides 27813 without a remainder.

1, 3, 73, 127, 219, 381, 9271

Step-4: Factors of 27831

List of positive integer factors of 27831 that divides 27813 without a remainder.

1, 3, 9277

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27813 and 27831. The biggest common factor number is the GCF number.
So the greatest common factor 27813 and 27831 is 3.

Also check out the Least Common Multiple of 27813 and 27831