What is the Greatest Common Factor of 28944 and 28960?

Greatest common factor (GCF) of 28944 and 28960 is 16.

GCF(28944,28960) = 16

We will now calculate the prime factors of 28944 and 28960, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28944 and 28960.

How to find the GCF of 28944 and 28960?

We will first find the prime factorization of 28944 and 28960. After we will calculate the factors of 28944 and 28960 and find the biggest common factor number .

Step-1: Prime Factorization of 28944

Prime factors of 28944 are 2, 3, 67. Prime factorization of 28944 in exponential form is:

28944 = 2⁴ × 3³ × 67¹

Step-2: Prime Factorization of 28960

Prime factors of 28960 are 2, 5, 181. Prime factorization of 28960 in exponential form is:

28960 = 2⁵ × 5¹ × 181¹

Step-3: Factors of 28944

List of positive integer factors of 28944 that divides 28944 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 67, 72, 108, 134, 144, 201, 216, 268, 402, 432, 536, 603, 804, 1072, 1206, 1608, 1809, 2412, 3216, 3618, 4824, 7236, 9648, 14472

Step-4: Factors of 28960

List of positive integer factors of 28960 that divides 28944 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160, 181, 362, 724, 905, 1448, 1810, 2896, 3620, 5792, 7240, 14480

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28944 and 28960. The biggest common factor number is the GCF number.
So the greatest common factor 28944 and 28960 is 16.

Also check out the Least Common Multiple of 28944 and 28960