What is the Greatest Common Factor of 72916 and 72928?

Greatest common factor (GCF) of 72916 and 72928 is 4.

GCF(72916,72928) = 4

We will now calculate the prime factors of 72916 and 72928, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72916 and 72928.

How to find the GCF of 72916 and 72928?

We will first find the prime factorization of 72916 and 72928. After we will calculate the factors of 72916 and 72928 and find the biggest common factor number .

Step-1: Prime Factorization of 72916

Prime factors of 72916 are 2, 18229. Prime factorization of 72916 in exponential form is:

72916 = 2² × 18229¹

Step-2: Prime Factorization of 72928

Prime factors of 72928 are 2, 43, 53. Prime factorization of 72928 in exponential form is:

72928 = 2⁵ × 43¹ × 53¹

Step-3: Factors of 72916

List of positive integer factors of 72916 that divides 72916 without a remainder.

1, 2, 4, 18229, 36458

Step-4: Factors of 72928

List of positive integer factors of 72928 that divides 72916 without a remainder.

1, 2, 4, 8, 16, 32, 43, 53, 86, 106, 172, 212, 344, 424, 688, 848, 1376, 1696, 2279, 4558, 9116, 18232, 36464

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72916 and 72928. The biggest common factor number is the GCF number.
So the greatest common factor 72916 and 72928 is 4.

Also check out the Least Common Multiple of 72916 and 72928