What is the Greatest Common Factor of 27916 and 27920?

Greatest common factor (GCF) of 27916 and 27920 is 4.

GCF(27916,27920) = 4

We will now calculate the prime factors of 27916 and 27920, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27916 and 27920.

How to find the GCF of 27916 and 27920?

We will first find the prime factorization of 27916 and 27920. After we will calculate the factors of 27916 and 27920 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 27920

Prime factors of 27920 are 2, 5, 349. Prime factorization of 27920 in exponential form is:

27920 = 2⁴ × 5¹ × 349¹

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 27920

List of positive integer factors of 27920 that divides 27916 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 349, 698, 1396, 1745, 2792, 3490, 5584, 6980, 13960

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27916 and 27920. The biggest common factor number is the GCF number.
So the greatest common factor 27916 and 27920 is 4.

Also check out the Least Common Multiple of 27916 and 27920