What is the Greatest Common Factor of 27804 and 27823?

Greatest common factor (GCF) of 27804 and 27823 is 1.

GCF(27804,27823) = 1

We will now calculate the prime factors of 27804 and 27823, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27804 and 27823.

How to find the GCF of 27804 and 27823?

We will first find the prime factorization of 27804 and 27823. After we will calculate the factors of 27804 and 27823 and find the biggest common factor number .

Step-1: Prime Factorization of 27804

Prime factors of 27804 are 2, 3, 7, 331. Prime factorization of 27804 in exponential form is:

27804 = 2² × 3¹ × 7¹ × 331¹

Step-2: Prime Factorization of 27823

Prime factors of 27823 are 27823. Prime factorization of 27823 in exponential form is:

27823 = 27823¹

Step-3: Factors of 27804

List of positive integer factors of 27804 that divides 27804 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 331, 662, 993, 1324, 1986, 2317, 3972, 4634, 6951, 9268, 13902

Step-4: Factors of 27823

List of positive integer factors of 27823 that divides 27804 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27804 and 27823. The biggest common factor number is the GCF number.
So the greatest common factor 27804 and 27823 is 1.

Also check out the Least Common Multiple of 27804 and 27823