What is the Greatest Common Factor of 98266 and 98280?

Greatest common factor (GCF) of 98266 and 98280 is 14.

GCF(98266,98280) = 14

We will now calculate the prime factors of 98266 and 98280, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98266 and 98280.

How to find the GCF of 98266 and 98280?

We will first find the prime factorization of 98266 and 98280. After we will calculate the factors of 98266 and 98280 and find the biggest common factor number .

Step-1: Prime Factorization of 98266

Prime factors of 98266 are 2, 7, 7019. Prime factorization of 98266 in exponential form is:

98266 = 2¹ × 7¹ × 7019¹

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 98266

List of positive integer factors of 98266 that divides 98266 without a remainder.

1, 2, 7, 14, 7019, 14038, 49133

Step-4: Factors of 98280

List of positive integer factors of 98280 that divides 98266 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 98266 and 98280. The biggest common factor number is the GCF number.
So the greatest common factor 98266 and 98280 is 14.

Also check out the Least Common Multiple of 98266 and 98280