What is the Greatest Common Factor of 98280 and 98297?

Greatest common factor (GCF) of 98280 and 98297 is 1.

GCF(98280,98297) = 1

We will now calculate the prime factors of 98280 and 98297, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98280 and 98297.

How to find the GCF of 98280 and 98297?

We will first find the prime factorization of 98280 and 98297. After we will calculate the factors of 98280 and 98297 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 98297

Prime factors of 98297 are 98297. Prime factorization of 98297 in exponential form is:

98297 = 98297¹

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 98297

List of positive integer factors of 98297 that divides 98280 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98280 and 98297. The biggest common factor number is the GCF number.
So the greatest common factor 98280 and 98297 is 1.

Also check out the Least Common Multiple of 98280 and 98297