GCF and LCM Calculator Logo

What is the Greatest Common Factor of 98262 and 98280?

Greatest common factor (GCF) of 98262 and 98280 is 18.

GCF(98262,98280) = 18

We will now calculate the prime factors of 98262 and 98280, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98262 and 98280.

GCF Calculator and
and

How to find the GCF of 98262 and 98280?

We will first find the prime factorization of 98262 and 98280. After we will calculate the factors of 98262 and 98280 and find the biggest common factor number .

Step-1: Prime Factorization of 98262

Prime factors of 98262 are 2, 3, 53, 103. Prime factorization of 98262 in exponential form is:

98262 = 21 × 32 × 531 × 1031

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 98262

List of positive integer factors of 98262 that divides 98262 without a remainder.

1, 2, 3, 6, 9, 18, 53, 103, 106, 159, 206, 309, 318, 477, 618, 927, 954, 1854, 5459, 10918, 16377, 32754, 49131

Step-4: Factors of 98280

List of positive integer factors of 98280 that divides 98262 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 98262 and 98280. The biggest common factor number is the GCF number.
So the greatest common factor 98262 and 98280 is 18.

Also check out the Least Common Multiple of 98262 and 98280