What is the Greatest Common Factor of 27916 and 27926?

Greatest common factor (GCF) of 27916 and 27926 is 2.

GCF(27916,27926) = 2

We will now calculate the prime factors of 27916 and 27926, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27916 and 27926.

How to find the GCF of 27916 and 27926?

We will first find the prime factorization of 27916 and 27926. After we will calculate the factors of 27916 and 27926 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 27926

Prime factors of 27926 are 2, 13963. Prime factorization of 27926 in exponential form is:

27926 = 2¹ × 13963¹

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 27926

List of positive integer factors of 27926 that divides 27916 without a remainder.

1, 2, 13963

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27916 and 27926. The biggest common factor number is the GCF number.
So the greatest common factor 27916 and 27926 is 2.

Also check out the Least Common Multiple of 27916 and 27926