What is the Greatest Common Factor of 92805 and 92820?

Greatest common factor (GCF) of 92805 and 92820 is 15.

GCF(92805,92820) = 15

We will now calculate the prime factors of 92805 and 92820, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92805 and 92820.

How to find the GCF of 92805 and 92820?

We will first find the prime factorization of 92805 and 92820. After we will calculate the factors of 92805 and 92820 and find the biggest common factor number .

Step-1: Prime Factorization of 92805

Prime factors of 92805 are 3, 5, 23, 269. Prime factorization of 92805 in exponential form is:

92805 = 3¹ × 5¹ × 23¹ × 269¹

Step-2: 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-3: Factors of 92805

List of positive integer factors of 92805 that divides 92805 without a remainder.

1, 3, 5, 15, 23, 69, 115, 269, 345, 807, 1345, 4035, 6187, 18561, 30935

Step-4: Factors of 92820

List of positive integer factors of 92820 that divides 92805 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92805 and 92820. The biggest common factor number is the GCF number.
So the greatest common factor 92805 and 92820 is 15.

Also check out the Least Common Multiple of 92805 and 92820