What is the Greatest Common Factor of 20928 and 20944?

Greatest common factor (GCF) of 20928 and 20944 is 16.

GCF(20928,20944) = 16

We will now calculate the prime factors of 20928 and 20944, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20928 and 20944.

How to find the GCF of 20928 and 20944?

We will first find the prime factorization of 20928 and 20944. After we will calculate the factors of 20928 and 20944 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 20944

Prime factors of 20944 are 2, 7, 11, 17. Prime factorization of 20944 in exponential form is:

20944 = 2⁴ × 7¹ × 11¹ × 17¹

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 20944

List of positive integer factors of 20944 that divides 20928 without a remainder.

1, 2, 4, 7, 8, 11, 14, 16, 17, 22, 28, 34, 44, 56, 68, 77, 88, 112, 119, 136, 154, 176, 187, 238, 272, 308, 374, 476, 616, 748, 952, 1232, 1309, 1496, 1904, 2618, 2992, 5236, 10472

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20928 and 20944. The biggest common factor number is the GCF number.
So the greatest common factor 20928 and 20944 is 16.

Also check out the Least Common Multiple of 20928 and 20944