What is the Greatest Common Factor of 27916 and 27934?

Greatest common factor (GCF) of 27916 and 27934 is 2.

GCF(27916,27934) = 2

We will now calculate the prime factors of 27916 and 27934, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27916 and 27934.

How to find the GCF of 27916 and 27934?

We will first find the prime factorization of 27916 and 27934. After we will calculate the factors of 27916 and 27934 and find the biggest common factor number .

Step-1: Prime Factorization of 27916

Prime factors of 27916 are 2, 7, 997. Prime factorization of 27916 in exponential form is:

27916 = 2² × 7¹ × 997¹

Step-2: Prime Factorization of 27934

Prime factors of 27934 are 2, 13967. Prime factorization of 27934 in exponential form is:

27934 = 2¹ × 13967¹

Step-3: Factors of 27916

List of positive integer factors of 27916 that divides 27916 without a remainder.

1, 2, 4, 7, 14, 28, 997, 1994, 3988, 6979, 13958

Step-4: Factors of 27934

List of positive integer factors of 27934 that divides 27916 without a remainder.

1, 2, 13967

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27916 and 27934. The biggest common factor number is the GCF number.
So the greatest common factor 27916 and 27934 is 2.

Also check out the Least Common Multiple of 27916 and 27934