What is the Greatest Common Factor of 18928 and 18944?

Greatest common factor (GCF) of 18928 and 18944 is 16.

GCF(18928,18944) = 16

We will now calculate the prime factors of 18928 and 18944, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18928 and 18944.

How to find the GCF of 18928 and 18944?

We will first find the prime factorization of 18928 and 18944. After we will calculate the factors of 18928 and 18944 and find the biggest common factor number .

Step-1: Prime Factorization of 18928

Prime factors of 18928 are 2, 7, 13. Prime factorization of 18928 in exponential form is:

18928 = 2⁴ × 7¹ × 13²

Step-2: Prime Factorization of 18944

Prime factors of 18944 are 2, 37. Prime factorization of 18944 in exponential form is:

18944 = 2⁹ × 37¹

Step-3: Factors of 18928

List of positive integer factors of 18928 that divides 18928 without a remainder.

1, 2, 4, 7, 8, 13, 14, 16, 26, 28, 52, 56, 91, 104, 112, 169, 182, 208, 338, 364, 676, 728, 1183, 1352, 1456, 2366, 2704, 4732, 9464

Step-4: Factors of 18944

List of positive integer factors of 18944 that divides 18928 without a remainder.

1, 2, 4, 8, 16, 32, 37, 64, 74, 128, 148, 256, 296, 512, 592, 1184, 2368, 4736, 9472

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18928 and 18944. The biggest common factor number is the GCF number.
So the greatest common factor 18928 and 18944 is 16.

Also check out the Least Common Multiple of 18928 and 18944