What is the Greatest Common Factor of 916 and 936?

Greatest common factor (GCF) of 916 and 936 is 4.

GCF(916,936) = 4

We will now calculate the prime factors of 916 and 936, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 916 and 936.

How to find the GCF of 916 and 936?

We will first find the prime factorization of 916 and 936. After we will calculate the factors of 916 and 936 and find the biggest common factor number .

Step-1: Prime Factorization of 916

Prime factors of 916 are 2, 229. Prime factorization of 916 in exponential form is:

916 = 2² × 229¹

Step-2: Prime Factorization of 936

Prime factors of 936 are 2, 3, 13. Prime factorization of 936 in exponential form is:

936 = 2³ × 3² × 13¹

Step-3: Factors of 916

List of positive integer factors of 916 that divides 916 without a remainder.

1, 2, 4, 229, 458

Step-4: Factors of 936

List of positive integer factors of 936 that divides 916 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 916 and 936. The biggest common factor number is the GCF number.
So the greatest common factor 916 and 936 is 4.

Also check out the Least Common Multiple of 916 and 936