What is the Greatest Common Factor of 20928 and 20943?

Greatest common factor (GCF) of 20928 and 20943 is 3.

GCF(20928,20943) = 3

We will now calculate the prime factors of 20928 and 20943, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20928 and 20943.

How to find the GCF of 20928 and 20943?

We will first find the prime factorization of 20928 and 20943. After we will calculate the factors of 20928 and 20943 and find the biggest common factor number .

Step-1: Prime Factorization of 20928

Prime factors of 20928 are 2, 3, 109. Prime factorization of 20928 in exponential form is:

20928 = 2⁶ × 3¹ × 109¹

Step-2: Prime Factorization of 20943

Prime factors of 20943 are 3, 13, 179. Prime factorization of 20943 in exponential form is:

20943 = 3² × 13¹ × 179¹

Step-3: Factors of 20928

List of positive integer factors of 20928 that divides 20928 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 109, 192, 218, 327, 436, 654, 872, 1308, 1744, 2616, 3488, 5232, 6976, 10464

Step-4: Factors of 20943

List of positive integer factors of 20943 that divides 20928 without a remainder.

1, 3, 9, 13, 39, 117, 179, 537, 1611, 2327, 6981

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20928 and 20943. The biggest common factor number is the GCF number.
So the greatest common factor 20928 and 20943 is 3.

Also check out the Least Common Multiple of 20928 and 20943