What is the Greatest Common Factor of 18944 and 18960?

Greatest common factor (GCF) of 18944 and 18960 is 16.

GCF(18944,18960) = 16

We will now calculate the prime factors of 18944 and 18960, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18944 and 18960.

How to find the GCF of 18944 and 18960?

We will first find the prime factorization of 18944 and 18960. After we will calculate the factors of 18944 and 18960 and find the biggest common factor number .

Step-1: Prime Factorization of 18944

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

18944 = 2⁹ × 37¹

Step-2: Prime Factorization of 18960

Prime factors of 18960 are 2, 3, 5, 79. Prime factorization of 18960 in exponential form is:

18960 = 2⁴ × 3¹ × 5¹ × 79¹

Step-3: Factors of 18944

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

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

Step-4: Factors of 18960

List of positive integer factors of 18960 that divides 18944 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 79, 80, 120, 158, 237, 240, 316, 395, 474, 632, 790, 948, 1185, 1264, 1580, 1896, 2370, 3160, 3792, 4740, 6320, 9480

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18944 and 18960. The biggest common factor number is the GCF number.
So the greatest common factor 18944 and 18960 is 16.

Also check out the Least Common Multiple of 18944 and 18960