What is the Greatest Common Factor of 27909 and 27916?

Greatest common factor (GCF) of 27909 and 27916 is 7.

GCF(27909,27916) = 7

We will now calculate the prime factors of 27909 and 27916, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27909 and 27916.

How to find the GCF of 27909 and 27916?

We will first find the prime factorization of 27909 and 27916. After we will calculate the factors of 27909 and 27916 and find the biggest common factor number .

Step-1: Prime Factorization of 27909

Prime factors of 27909 are 3, 7, 443. Prime factorization of 27909 in exponential form is:

27909 = 3² × 7¹ × 443¹

Step-2: 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-3: Factors of 27909

List of positive integer factors of 27909 that divides 27909 without a remainder.

1, 3, 7, 9, 21, 63, 443, 1329, 3101, 3987, 9303

Step-4: Factors of 27916

List of positive integer factors of 27916 that divides 27909 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27909 and 27916. The biggest common factor number is the GCF number.
So the greatest common factor 27909 and 27916 is 7.

Also check out the Least Common Multiple of 27909 and 27916