What is the Greatest Common Factor of 98267 and 98280?

Greatest common factor (GCF) of 98267 and 98280 is 13.

GCF(98267,98280) = 13

We will now calculate the prime factors of 98267 and 98280, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98267 and 98280.

How to find the GCF of 98267 and 98280?

We will first find the prime factorization of 98267 and 98280. After we will calculate the factors of 98267 and 98280 and find the biggest common factor number .

Step-1: Prime Factorization of 98267

Prime factors of 98267 are 13, 7559. Prime factorization of 98267 in exponential form is:

98267 = 13¹ × 7559¹

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 98267

List of positive integer factors of 98267 that divides 98267 without a remainder.

1, 13, 7559

Step-4: Factors of 98280

List of positive integer factors of 98280 that divides 98267 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 98267 and 98280. The biggest common factor number is the GCF number.
So the greatest common factor 98267 and 98280 is 13.

Also check out the Least Common Multiple of 98267 and 98280