What is the Greatest Common Factor of 85680 and 85689?

Greatest common factor (GCF) of 85680 and 85689 is 9.

GCF(85680,85689) = 9

We will now calculate the prime factors of 85680 and 85689, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85680 and 85689.

How to find the GCF of 85680 and 85689?

We will first find the prime factorization of 85680 and 85689. After we will calculate the factors of 85680 and 85689 and find the biggest common factor number .

Step-1: Prime Factorization of 85680

Prime factors of 85680 are 2, 3, 5, 7, 17. Prime factorization of 85680 in exponential form is:

85680 = 2⁴ × 3² × 5¹ × 7¹ × 17¹

Step-2: Prime Factorization of 85689

Prime factors of 85689 are 3, 9521. Prime factorization of 85689 in exponential form is:

85689 = 3² × 9521¹

Step-3: Factors of 85680

List of positive integer factors of 85680 that divides 85680 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14, 15, 16, 17, 18, 20, 21, 24, 28, 30, 34, 35, 36, 40, 42, 45, 48, 51, 56, 60, 63, 68, 70, 72, 80, 84, 85, 90, 102, 105, 112, 119, 120, 126, 136, 140, 144, 153, 168, 170, 180, 204, 210, 238, 240, 252, 255, 272, 280, 306, 315, 336, 340, 357, 360, 408, 420, 476, 504, 510, 560, 595, 612, 630, 680, 714, 720, 765, 816, 840, 952, 1008, 1020, 1071, 1190, 1224, 1260, 1360, 1428, 1530, 1680, 1785, 1904, 2040, 2142, 2380, 2448, 2520, 2856, 3060, 3570, 4080, 4284, 4760, 5040, 5355, 5712, 6120, 7140, 8568, 9520, 10710, 12240, 14280, 17136, 21420, 28560, 42840

Step-4: Factors of 85689

List of positive integer factors of 85689 that divides 85680 without a remainder.

1, 3, 9, 9521, 28563

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85680 and 85689. The biggest common factor number is the GCF number.
So the greatest common factor 85680 and 85689 is 9.

Also check out the Least Common Multiple of 85680 and 85689