What is the Greatest Common Factor of 27874 and 27891?

Greatest common factor (GCF) of 27874 and 27891 is 1.

GCF(27874,27891) = 1

We will now calculate the prime factors of 27874 and 27891, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27874 and 27891.

How to find the GCF of 27874 and 27891?

We will first find the prime factorization of 27874 and 27891. After we will calculate the factors of 27874 and 27891 and find the biggest common factor number .

Step-1: Prime Factorization of 27874

Prime factors of 27874 are 2, 7, 11, 181. Prime factorization of 27874 in exponential form is:

27874 = 2¹ × 7¹ × 11¹ × 181¹

Step-2: Prime Factorization of 27891

Prime factors of 27891 are 3, 1033. Prime factorization of 27891 in exponential form is:

27891 = 3³ × 1033¹

Step-3: Factors of 27874

List of positive integer factors of 27874 that divides 27874 without a remainder.

1, 2, 7, 11, 14, 22, 77, 154, 181, 362, 1267, 1991, 2534, 3982, 13937

Step-4: Factors of 27891

List of positive integer factors of 27891 that divides 27874 without a remainder.

1, 3, 9, 27, 1033, 3099, 9297

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27874 and 27891. The biggest common factor number is the GCF number.
So the greatest common factor 27874 and 27891 is 1.

Also check out the Least Common Multiple of 27874 and 27891