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What is the Greatest Common Factor of 85680 and 85698?

Greatest common factor (GCF) of 85680 and 85698 is 18.

GCF(85680,85698) = 18

We will now calculate the prime factors of 85680 and 85698, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85680 and 85698.

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How to find the GCF of 85680 and 85698?

We will first find the prime factorization of 85680 and 85698. After we will calculate the factors of 85680 and 85698 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 85698

Prime factors of 85698 are 2, 3, 23. Prime factorization of 85698 in exponential form is:

85698 = 21 × 34 × 232

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 85698

List of positive integer factors of 85698 that divides 85680 without a remainder.

1, 2, 3, 6, 9, 18, 23, 27, 46, 54, 69, 81, 138, 162, 207, 414, 529, 621, 1058, 1242, 1587, 1863, 3174, 3726, 4761, 9522, 14283, 28566, 42849

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85680 and 85698. The biggest common factor number is the GCF number.
So the greatest common factor 85680 and 85698 is 18.

Also check out the Least Common Multiple of 85680 and 85698