What is the Greatest Common Factor of 85680 and 85688?

Greatest common factor (GCF) of 85680 and 85688 is 8.

GCF(85680,85688) = 8

We will now calculate the prime factors of 85680 and 85688, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85680 and 85688.

How to find the GCF of 85680 and 85688?

We will first find the prime factorization of 85680 and 85688. After we will calculate the factors of 85680 and 85688 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 85688

Prime factors of 85688 are 2, 10711. Prime factorization of 85688 in exponential form is:

85688 = 2³ × 10711¹

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 85688

List of positive integer factors of 85688 that divides 85680 without a remainder.

1, 2, 4, 8, 10711, 21422, 42844

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85680 and 85688. The biggest common factor number is the GCF number.
So the greatest common factor 85680 and 85688 is 8.

Also check out the Least Common Multiple of 85680 and 85688