What is the Greatest Common Factor of 43560 and 43569?

Greatest common factor (GCF) of 43560 and 43569 is 9.

GCF(43560,43569) = 9

We will now calculate the prime factors of 43560 and 43569, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43560 and 43569.

How to find the GCF of 43560 and 43569?

We will first find the prime factorization of 43560 and 43569. After we will calculate the factors of 43560 and 43569 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 43569

Prime factors of 43569 are 3, 47, 103. Prime factorization of 43569 in exponential form is:

43569 = 3² × 47¹ × 103¹

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 43569

List of positive integer factors of 43569 that divides 43560 without a remainder.

1, 3, 9, 47, 103, 141, 309, 423, 927, 4841, 14523

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43560 and 43569. The biggest common factor number is the GCF number.
So the greatest common factor 43560 and 43569 is 9.

Also check out the Least Common Multiple of 43560 and 43569