What is the Greatest Common Factor of 27854 and 27869?

Greatest common factor (GCF) of 27854 and 27869 is 1.

GCF(27854,27869) = 1

We will now calculate the prime factors of 27854 and 27869, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27854 and 27869.

How to find the GCF of 27854 and 27869?

We will first find the prime factorization of 27854 and 27869. After we will calculate the factors of 27854 and 27869 and find the biggest common factor number .

Step-1: Prime Factorization of 27854

Prime factors of 27854 are 2, 19, 733. Prime factorization of 27854 in exponential form is:

27854 = 2¹ × 19¹ × 733¹

Step-2: Prime Factorization of 27869

Prime factors of 27869 are 29, 31. Prime factorization of 27869 in exponential form is:

27869 = 29¹ × 31²

Step-3: Factors of 27854

List of positive integer factors of 27854 that divides 27854 without a remainder.

1, 2, 19, 38, 733, 1466, 13927

Step-4: Factors of 27869

List of positive integer factors of 27869 that divides 27854 without a remainder.

1, 29, 31, 899, 961

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27854 and 27869. The biggest common factor number is the GCF number.
So the greatest common factor 27854 and 27869 is 1.

Also check out the Least Common Multiple of 27854 and 27869