What is the Greatest Common Factor of 43680 and 43698?

Greatest common factor (GCF) of 43680 and 43698 is 6.

GCF(43680,43698) = 6

We will now calculate the prime factors of 43680 and 43698, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43680 and 43698.

How to find the GCF of 43680 and 43698?

We will first find the prime factorization of 43680 and 43698. After we will calculate the factors of 43680 and 43698 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 43698

Prime factors of 43698 are 2, 3, 7283. Prime factorization of 43698 in exponential form is:

43698 = 2¹ × 3¹ × 7283¹

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 43698

List of positive integer factors of 43698 that divides 43680 without a remainder.

1, 2, 3, 6, 7283, 14566, 21849

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43680 and 43698. The biggest common factor number is the GCF number.
So the greatest common factor 43680 and 43698 is 6.

Also check out the Least Common Multiple of 43680 and 43698