What is the Greatest Common Factor of 98276 and 98280?

Greatest common factor (GCF) of 98276 and 98280 is 4.

GCF(98276,98280) = 4

We will now calculate the prime factors of 98276 and 98280, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98276 and 98280.

How to find the GCF of 98276 and 98280?

We will first find the prime factorization of 98276 and 98280. After we will calculate the factors of 98276 and 98280 and find the biggest common factor number .

Step-1: Prime Factorization of 98276

Prime factors of 98276 are 2, 79, 311. Prime factorization of 98276 in exponential form is:

98276 = 2² × 79¹ × 311¹

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 98276

List of positive integer factors of 98276 that divides 98276 without a remainder.

1, 2, 4, 79, 158, 311, 316, 622, 1244, 24569, 49138

Step-4: Factors of 98280

List of positive integer factors of 98280 that divides 98276 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 98276 and 98280. The biggest common factor number is the GCF number.
So the greatest common factor 98276 and 98280 is 4.

Also check out the Least Common Multiple of 98276 and 98280