What is the Greatest Common Factor of 18570 and 18576?

Greatest common factor (GCF) of 18570 and 18576 is 6.

GCF(18570,18576) = 6

We will now calculate the prime factors of 18570 and 18576, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18570 and 18576.

How to find the GCF of 18570 and 18576?

We will first find the prime factorization of 18570 and 18576. After we will calculate the factors of 18570 and 18576 and find the biggest common factor number .

Step-1: Prime Factorization of 18570

Prime factors of 18570 are 2, 3, 5, 619. Prime factorization of 18570 in exponential form is:

18570 = 2¹ × 3¹ × 5¹ × 619¹

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 18570

List of positive integer factors of 18570 that divides 18570 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 619, 1238, 1857, 3095, 3714, 6190, 9285

Step-4: Factors of 18576

List of positive integer factors of 18576 that divides 18570 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 18570 and 18576. The biggest common factor number is the GCF number.
So the greatest common factor 18570 and 18576 is 6.

Also check out the Least Common Multiple of 18570 and 18576