What is the Greatest Common Factor of 92820 and 92835?

Greatest common factor (GCF) of 92820 and 92835 is 15.

GCF(92820,92835) = 15

We will now calculate the prime factors of 92820 and 92835, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92820 and 92835.

How to find the GCF of 92820 and 92835?

We will first find the prime factorization of 92820 and 92835. After we will calculate the factors of 92820 and 92835 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 92835

Prime factors of 92835 are 3, 5, 2063. Prime factorization of 92835 in exponential form is:

92835 = 3² × 5¹ × 2063¹

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 92835

List of positive integer factors of 92835 that divides 92820 without a remainder.

1, 3, 5, 9, 15, 45, 2063, 6189, 10315, 18567, 30945

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92820 and 92835. The biggest common factor number is the GCF number.
So the greatest common factor 92820 and 92835 is 15.

Also check out the Least Common Multiple of 92820 and 92835