What is the Greatest Common Factor of 72928 and 72944?

Greatest common factor (GCF) of 72928 and 72944 is 16.

GCF(72928,72944) = 16

We will now calculate the prime factors of 72928 and 72944, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72928 and 72944.

How to find the GCF of 72928 and 72944?

We will first find the prime factorization of 72928 and 72944. After we will calculate the factors of 72928 and 72944 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 72944

Prime factors of 72944 are 2, 47, 97. Prime factorization of 72944 in exponential form is:

72944 = 2⁴ × 47¹ × 97¹

Step-3: Factors of 72928

List of positive integer factors of 72928 that divides 72928 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

Step-4: Factors of 72944

List of positive integer factors of 72944 that divides 72928 without a remainder.

1, 2, 4, 8, 16, 47, 94, 97, 188, 194, 376, 388, 752, 776, 1552, 4559, 9118, 18236, 36472

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72928 and 72944. The biggest common factor number is the GCF number.
So the greatest common factor 72928 and 72944 is 16.

Also check out the Least Common Multiple of 72928 and 72944