What is the Greatest Common Factor of 27838 and 27851?

Greatest common factor (GCF) of 27838 and 27851 is 1.

GCF(27838,27851) = 1

We will now calculate the prime factors of 27838 and 27851, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27838 and 27851.

How to find the GCF of 27838 and 27851?

We will first find the prime factorization of 27838 and 27851. After we will calculate the factors of 27838 and 27851 and find the biggest common factor number .

Step-1: Prime Factorization of 27838

Prime factors of 27838 are 2, 31, 449. Prime factorization of 27838 in exponential form is:

27838 = 2¹ × 31¹ × 449¹

Step-2: Prime Factorization of 27851

Prime factors of 27851 are 27851. Prime factorization of 27851 in exponential form is:

27851 = 27851¹

Step-3: Factors of 27838

List of positive integer factors of 27838 that divides 27838 without a remainder.

1, 2, 31, 62, 449, 898, 13919

Step-4: Factors of 27851

List of positive integer factors of 27851 that divides 27838 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27838 and 27851. The biggest common factor number is the GCF number.
So the greatest common factor 27838 and 27851 is 1.

Also check out the Least Common Multiple of 27838 and 27851