What is the Greatest Common Factor of 27804 and 27821?

Greatest common factor (GCF) of 27804 and 27821 is 1.

GCF(27804,27821) = 1

We will now calculate the prime factors of 27804 and 27821, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27804 and 27821.

How to find the GCF of 27804 and 27821?

We will first find the prime factorization of 27804 and 27821. After we will calculate the factors of 27804 and 27821 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 27821

Prime factors of 27821 are 43, 647. Prime factorization of 27821 in exponential form is:

27821 = 43¹ × 647¹

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 27821

List of positive integer factors of 27821 that divides 27804 without a remainder.

1, 43, 647

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27804 and 27821. The biggest common factor number is the GCF number.
So the greatest common factor 27804 and 27821 is 1.

Also check out the Least Common Multiple of 27804 and 27821