What is the Greatest Common Factor of 43542 and 43560?

Greatest common factor (GCF) of 43542 and 43560 is 18.

GCF(43542,43560) = 18

We will now calculate the prime factors of 43542 and 43560, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43542 and 43560.

How to find the GCF of 43542 and 43560?

We will first find the prime factorization of 43542 and 43560. After we will calculate the factors of 43542 and 43560 and find the biggest common factor number .

Step-1: Prime Factorization of 43542

Prime factors of 43542 are 2, 3, 41, 59. Prime factorization of 43542 in exponential form is:

43542 = 2¹ × 3² × 41¹ × 59¹

Step-2: 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-3: Factors of 43542

List of positive integer factors of 43542 that divides 43542 without a remainder.

1, 2, 3, 6, 9, 18, 41, 59, 82, 118, 123, 177, 246, 354, 369, 531, 738, 1062, 2419, 4838, 7257, 14514, 21771

Step-4: Factors of 43560

List of positive integer factors of 43560 that divides 43542 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43542 and 43560. The biggest common factor number is the GCF number.
So the greatest common factor 43542 and 43560 is 18.

Also check out the Least Common Multiple of 43542 and 43560