What is the Greatest Common Factor of 43680 and 43691?

Greatest common factor (GCF) of 43680 and 43691 is 1.

GCF(43680,43691) = 1

We will now calculate the prime factors of 43680 and 43691, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43680 and 43691.

How to find the GCF of 43680 and 43691?

We will first find the prime factorization of 43680 and 43691. After we will calculate the factors of 43680 and 43691 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 43691

Prime factors of 43691 are 43691. Prime factorization of 43691 in exponential form is:

43691 = 43691¹

Step-3: Factors of 43680

List of positive integer factors of 43680 that divides 43680 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

Step-4: Factors of 43691

List of positive integer factors of 43691 that divides 43680 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43680 and 43691. The biggest common factor number is the GCF number.
So the greatest common factor 43680 and 43691 is 1.

Also check out the Least Common Multiple of 43680 and 43691