What is the Greatest Common Factor of 86928 and 86943?

Greatest common factor (GCF) of 86928 and 86943 is 3.

GCF(86928,86943) = 3

We will now calculate the prime factors of 86928 and 86943, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86928 and 86943.

How to find the GCF of 86928 and 86943?

We will first find the prime factorization of 86928 and 86943. After we will calculate the factors of 86928 and 86943 and find the biggest common factor number .

Step-1: Prime Factorization of 86928

Prime factors of 86928 are 2, 3, 1811. Prime factorization of 86928 in exponential form is:

86928 = 2⁴ × 3¹ × 1811¹

Step-2: Prime Factorization of 86943

Prime factors of 86943 are 3, 73, 397. Prime factorization of 86943 in exponential form is:

86943 = 3¹ × 73¹ × 397¹

Step-3: Factors of 86928

List of positive integer factors of 86928 that divides 86928 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1811, 3622, 5433, 7244, 10866, 14488, 21732, 28976, 43464

Step-4: Factors of 86943

List of positive integer factors of 86943 that divides 86928 without a remainder.

1, 3, 73, 219, 397, 1191, 28981

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86928 and 86943. The biggest common factor number is the GCF number.
So the greatest common factor 86928 and 86943 is 3.

Also check out the Least Common Multiple of 86928 and 86943