What is the Greatest Common Factor of 27814 and 27821?

Greatest common factor (GCF) of 27814 and 27821 is 1.

GCF(27814,27821) = 1

We will now calculate the prime factors of 27814 and 27821, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27814 and 27821.

How to find the GCF of 27814 and 27821?

We will first find the prime factorization of 27814 and 27821. After we will calculate the factors of 27814 and 27821 and find the biggest common factor number .

Step-1: Prime Factorization of 27814

Prime factors of 27814 are 2, 13907. Prime factorization of 27814 in exponential form is:

27814 = 2¹ × 13907¹

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 27814

List of positive integer factors of 27814 that divides 27814 without a remainder.

1, 2, 13907

Step-4: Factors of 27821

List of positive integer factors of 27821 that divides 27814 without a remainder.

1, 43, 647

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27814 and 27821. The biggest common factor number is the GCF number.
So the greatest common factor 27814 and 27821 is 1.

Also check out the Least Common Multiple of 27814 and 27821