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What is the Greatest Common Factor of 98264 and 98280?

Greatest common factor (GCF) of 98264 and 98280 is 8.

GCF(98264,98280) = 8

We will now calculate the prime factors of 98264 and 98280, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98264 and 98280.

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How to find the GCF of 98264 and 98280?

We will first find the prime factorization of 98264 and 98280. After we will calculate the factors of 98264 and 98280 and find the biggest common factor number .

Step-1: Prime Factorization of 98264

Prime factors of 98264 are 2, 71, 173. Prime factorization of 98264 in exponential form is:

98264 = 23 × 711 × 1731

Step-2: 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-3: Factors of 98264

List of positive integer factors of 98264 that divides 98264 without a remainder.

1, 2, 4, 8, 71, 142, 173, 284, 346, 568, 692, 1384, 12283, 24566, 49132

Step-4: Factors of 98280

List of positive integer factors of 98280 that divides 98264 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98264 and 98280. The biggest common factor number is the GCF number.
So the greatest common factor 98264 and 98280 is 8.

Also check out the Least Common Multiple of 98264 and 98280