What is the Greatest Common Factor of 43665 and 43680?

Greatest common factor (GCF) of 43665 and 43680 is 15.

GCF(43665,43680) = 15

We will now calculate the prime factors of 43665 and 43680, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43665 and 43680.

How to find the GCF of 43665 and 43680?

We will first find the prime factorization of 43665 and 43680. After we will calculate the factors of 43665 and 43680 and find the biggest common factor number .

Step-1: Prime Factorization of 43665

Prime factors of 43665 are 3, 5, 41, 71. Prime factorization of 43665 in exponential form is:

43665 = 3¹ × 5¹ × 41¹ × 71¹

Step-2: Prime Factorization of 43680

Prime factors of 43680 are 2, 3, 5, 7, 13. Prime factorization of 43680 in exponential form is:

43680 = 2⁵ × 3¹ × 5¹ × 7¹ × 13¹

Step-3: Factors of 43665

List of positive integer factors of 43665 that divides 43665 without a remainder.

1, 3, 5, 15, 41, 71, 123, 205, 213, 355, 615, 1065, 2911, 8733, 14555

Step-4: Factors of 43680

List of positive integer factors of 43680 that divides 43665 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 13, 14, 15, 16, 20, 21, 24, 26, 28, 30, 32, 35, 39, 40, 42, 48, 52, 56, 60, 65, 70, 78, 80, 84, 91, 96, 104, 105, 112, 120, 130, 140, 156, 160, 168, 182, 195, 208, 210, 224, 240, 260, 273, 280, 312, 336, 364, 390, 416, 420, 455, 480, 520, 546, 560, 624, 672, 728, 780, 840, 910, 1040, 1092, 1120, 1248, 1365, 1456, 1560, 1680, 1820, 2080, 2184, 2730, 2912, 3120, 3360, 3640, 4368, 5460, 6240, 7280, 8736, 10920, 14560, 21840

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43665 and 43680. The biggest common factor number is the GCF number.
So the greatest common factor 43665 and 43680 is 15.

Also check out the Least Common Multiple of 43665 and 43680