What is the Greatest Common Factor of 27857 and 27869?

Greatest common factor (GCF) of 27857 and 27869 is 1.

GCF(27857,27869) = 1

We will now calculate the prime factors of 27857 and 27869, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27857 and 27869.

How to find the GCF of 27857 and 27869?

We will first find the prime factorization of 27857 and 27869. After we will calculate the factors of 27857 and 27869 and find the biggest common factor number .

Step-1: Prime Factorization of 27857

Prime factors of 27857 are 89, 313. Prime factorization of 27857 in exponential form is:

27857 = 89¹ × 313¹

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 27857

List of positive integer factors of 27857 that divides 27857 without a remainder.

1, 89, 313

Step-4: Factors of 27869

List of positive integer factors of 27869 that divides 27857 without a remainder.

1, 29, 31, 899, 961

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27857 and 27869. The biggest common factor number is the GCF number.
So the greatest common factor 27857 and 27869 is 1.

Also check out the Least Common Multiple of 27857 and 27869