What is the Greatest Common Factor of 72928 and 72935?

Greatest common factor (GCF) of 72928 and 72935 is 1.

GCF(72928,72935) = 1

We will now calculate the prime factors of 72928 and 72935, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72928 and 72935.

How to find the GCF of 72928 and 72935?

We will first find the prime factorization of 72928 and 72935. After we will calculate the factors of 72928 and 72935 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 72935

Prime factors of 72935 are 5, 29, 503. Prime factorization of 72935 in exponential form is:

72935 = 5¹ × 29¹ × 503¹

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 72935

List of positive integer factors of 72935 that divides 72928 without a remainder.

1, 5, 29, 145, 503, 2515, 14587

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72928 and 72935. The biggest common factor number is the GCF number.
So the greatest common factor 72928 and 72935 is 1.

Also check out the Least Common Multiple of 72928 and 72935