What is the Greatest Common Factor of 43560 and 43568?

Greatest common factor (GCF) of 43560 and 43568 is 8.

GCF(43560,43568) = 8

We will now calculate the prime factors of 43560 and 43568, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43560 and 43568.

How to find the GCF of 43560 and 43568?

We will first find the prime factorization of 43560 and 43568. After we will calculate the factors of 43560 and 43568 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 43568

Prime factors of 43568 are 2, 7, 389. Prime factorization of 43568 in exponential form is:

43568 = 2⁴ × 7¹ × 389¹

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 43568

List of positive integer factors of 43568 that divides 43560 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 389, 778, 1556, 2723, 3112, 5446, 6224, 10892, 21784

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43560 and 43568. The biggest common factor number is the GCF number.
So the greatest common factor 43560 and 43568 is 8.

Also check out the Least Common Multiple of 43560 and 43568