What is the Greatest Common Factor of 18560 and 18576?

Greatest common factor (GCF) of 18560 and 18576 is 16.

GCF(18560,18576) = 16

We will now calculate the prime factors of 18560 and 18576, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18560 and 18576.

How to find the GCF of 18560 and 18576?

We will first find the prime factorization of 18560 and 18576. After we will calculate the factors of 18560 and 18576 and find the biggest common factor number .

Step-1: Prime Factorization of 18560

Prime factors of 18560 are 2, 5, 29. Prime factorization of 18560 in exponential form is:

18560 = 2⁷ × 5¹ × 29¹

Step-2: Prime Factorization of 18576

Prime factors of 18576 are 2, 3, 43. Prime factorization of 18576 in exponential form is:

18576 = 2⁴ × 3³ × 43¹

Step-3: Factors of 18560

List of positive integer factors of 18560 that divides 18560 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 29, 32, 40, 58, 64, 80, 116, 128, 145, 160, 232, 290, 320, 464, 580, 640, 928, 1160, 1856, 2320, 3712, 4640, 9280

Step-4: Factors of 18576

List of positive integer factors of 18576 that divides 18560 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 43, 48, 54, 72, 86, 108, 129, 144, 172, 216, 258, 344, 387, 432, 516, 688, 774, 1032, 1161, 1548, 2064, 2322, 3096, 4644, 6192, 9288

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18560 and 18576. The biggest common factor number is the GCF number.
So the greatest common factor 18560 and 18576 is 16.

Also check out the Least Common Multiple of 18560 and 18576