What is the Greatest Common Factor of 72928 and 72943?

Greatest common factor (GCF) of 72928 and 72943 is 1.

GCF(72928,72943) = 1

We will now calculate the prime factors of 72928 and 72943, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72928 and 72943.

How to find the GCF of 72928 and 72943?

We will first find the prime factorization of 72928 and 72943. After we will calculate the factors of 72928 and 72943 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 72943

Prime factors of 72943 are 13, 31, 181. Prime factorization of 72943 in exponential form is:

72943 = 13¹ × 31¹ × 181¹

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 72943

List of positive integer factors of 72943 that divides 72928 without a remainder.

1, 13, 31, 181, 403, 2353, 5611

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72928 and 72943. The biggest common factor number is the GCF number.
So the greatest common factor 72928 and 72943 is 1.

Also check out the Least Common Multiple of 72928 and 72943