What is the Greatest Common Factor of 92820 and 92826?

Greatest common factor (GCF) of 92820 and 92826 is 6.

GCF(92820,92826) = 6

We will now calculate the prime factors of 92820 and 92826, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92820 and 92826.

How to find the GCF of 92820 and 92826?

We will first find the prime factorization of 92820 and 92826. After we will calculate the factors of 92820 and 92826 and find the biggest common factor number .

Step-1: Prime Factorization of 92820

Prime factors of 92820 are 2, 3, 5, 7, 13, 17. Prime factorization of 92820 in exponential form is:

92820 = 2² × 3¹ × 5¹ × 7¹ × 13¹ × 17¹

Step-2: Prime Factorization of 92826

Prime factors of 92826 are 2, 3, 191. Prime factorization of 92826 in exponential form is:

92826 = 2¹ × 3⁵ × 191¹

Step-3: Factors of 92820

List of positive integer factors of 92820 that divides 92820 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 13, 14, 15, 17, 20, 21, 26, 28, 30, 34, 35, 39, 42, 51, 52, 60, 65, 68, 70, 78, 84, 85, 91, 102, 105, 119, 130, 140, 156, 170, 182, 195, 204, 210, 221, 238, 255, 260, 273, 340, 357, 364, 390, 420, 442, 455, 476, 510, 546, 595, 663, 714, 780, 884, 910, 1020, 1092, 1105, 1190, 1326, 1365, 1428, 1547, 1785, 1820, 2210, 2380, 2652, 2730, 3094, 3315, 3570, 4420, 4641, 5460, 6188, 6630, 7140, 7735, 9282, 13260, 15470, 18564, 23205, 30940, 46410

Step-4: Factors of 92826

List of positive integer factors of 92826 that divides 92820 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 191, 243, 382, 486, 573, 1146, 1719, 3438, 5157, 10314, 15471, 30942, 46413

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92820 and 92826. The biggest common factor number is the GCF number.
So the greatest common factor 92820 and 92826 is 6.

Also check out the Least Common Multiple of 92820 and 92826