What is the Greatest Common Factor of 43560 and 43578?

Greatest common factor (GCF) of 43560 and 43578 is 18.

GCF(43560,43578) = 18

We will now calculate the prime factors of 43560 and 43578, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43560 and 43578.

How to find the GCF of 43560 and 43578?

We will first find the prime factorization of 43560 and 43578. After we will calculate the factors of 43560 and 43578 and find the biggest common factor number .

Step-1: Prime Factorization of 43560

Prime factors of 43560 are 2, 3, 5, 11. Prime factorization of 43560 in exponential form is:

43560 = 2³ × 3² × 5¹ × 11²

Step-2: Prime Factorization of 43578

Prime factors of 43578 are 2, 3, 269. Prime factorization of 43578 in exponential form is:

43578 = 2¹ × 3⁴ × 269¹

Step-3: Factors of 43560

List of positive integer factors of 43560 that divides 43560 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 15, 18, 20, 22, 24, 30, 33, 36, 40, 44, 45, 55, 60, 66, 72, 88, 90, 99, 110, 120, 121, 132, 165, 180, 198, 220, 242, 264, 330, 360, 363, 396, 440, 484, 495, 605, 660, 726, 792, 968, 990, 1089, 1210, 1320, 1452, 1815, 1980, 2178, 2420, 2904, 3630, 3960, 4356, 4840, 5445, 7260, 8712, 10890, 14520, 21780

Step-4: Factors of 43578

List of positive integer factors of 43578 that divides 43560 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 269, 538, 807, 1614, 2421, 4842, 7263, 14526, 21789

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43560 and 43578. The biggest common factor number is the GCF number.
So the greatest common factor 43560 and 43578 is 18.

Also check out the Least Common Multiple of 43560 and 43578