What is the Greatest Common Factor of 98280 and 98287?

Greatest common factor (GCF) of 98280 and 98287 is 7.

GCF(98280,98287) = 7

We will now calculate the prime factors of 98280 and 98287, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98280 and 98287.

How to find the GCF of 98280 and 98287?

We will first find the prime factorization of 98280 and 98287. After we will calculate the factors of 98280 and 98287 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 98287

Prime factors of 98287 are 7, 19, 739. Prime factorization of 98287 in exponential form is:

98287 = 7¹ × 19¹ × 739¹

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 98287

List of positive integer factors of 98287 that divides 98280 without a remainder.

1, 7, 19, 133, 739, 5173, 14041

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98280 and 98287. The biggest common factor number is the GCF number.
So the greatest common factor 98280 and 98287 is 7.

Also check out the Least Common Multiple of 98280 and 98287