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What is the Greatest Common Factor of 98280 and 98298?

Greatest common factor (GCF) of 98280 and 98298 is 18.

GCF(98280,98298) = 18

We will now calculate the prime factors of 98280 and 98298, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98280 and 98298.

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How to find the GCF of 98280 and 98298?

We will first find the prime factorization of 98280 and 98298. After we will calculate the factors of 98280 and 98298 and find the biggest common factor number .

Step-1: Prime Factorization of 98280

Prime factors of 98280 are 2, 3, 5, 7, 13. Prime factorization of 98280 in exponential form is:

98280 = 23 × 33 × 51 × 71 × 131

Step-2: Prime Factorization of 98298

Prime factors of 98298 are 2, 3, 43, 127. Prime factorization of 98298 in exponential form is:

98298 = 21 × 32 × 431 × 1271

Step-3: Factors of 98280

List of positive integer factors of 98280 that divides 98280 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 13, 14, 15, 18, 20, 21, 24, 26, 27, 28, 30, 35, 36, 39, 40, 42, 45, 52, 54, 56, 60, 63, 65, 70, 72, 78, 84, 90, 91, 104, 105, 108, 117, 120, 126, 130, 135, 140, 156, 168, 180, 182, 189, 195, 210, 216, 234, 252, 260, 270, 273, 280, 312, 315, 351, 360, 364, 378, 390, 420, 455, 468, 504, 520, 540, 546, 585, 630, 702, 728, 756, 780, 819, 840, 910, 936, 945, 1080, 1092, 1170, 1260, 1365, 1404, 1512, 1560, 1638, 1755, 1820, 1890, 2184, 2340, 2457, 2520, 2730, 2808, 3276, 3510, 3640, 3780, 4095, 4680, 4914, 5460, 6552, 7020, 7560, 8190, 9828, 10920, 12285, 14040, 16380, 19656, 24570, 32760, 49140

Step-4: Factors of 98298

List of positive integer factors of 98298 that divides 98280 without a remainder.

1, 2, 3, 6, 9, 18, 43, 86, 127, 129, 254, 258, 381, 387, 762, 774, 1143, 2286, 5461, 10922, 16383, 32766, 49149

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98280 and 98298. The biggest common factor number is the GCF number.
So the greatest common factor 98280 and 98298 is 18.

Also check out the Least Common Multiple of 98280 and 98298