What is the Greatest Common Factor of 72928 and 72942?

Greatest common factor (GCF) of 72928 and 72942 is 2.

GCF(72928,72942) = 2

We will now calculate the prime factors of 72928 and 72942, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72928 and 72942.

How to find the GCF of 72928 and 72942?

We will first find the prime factorization of 72928 and 72942. After we will calculate the factors of 72928 and 72942 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 72942

Prime factors of 72942 are 2, 3, 12157. Prime factorization of 72942 in exponential form is:

72942 = 2¹ × 3¹ × 12157¹

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 72942

List of positive integer factors of 72942 that divides 72928 without a remainder.

1, 2, 3, 6, 12157, 24314, 36471

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72928 and 72942. The biggest common factor number is the GCF number.
So the greatest common factor 72928 and 72942 is 2.

Also check out the Least Common Multiple of 72928 and 72942