What is the Greatest Common Factor of 92820 and 92833?

Greatest common factor (GCF) of 92820 and 92833 is 13.

GCF(92820,92833) = 13

We will now calculate the prime factors of 92820 and 92833, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92820 and 92833.

How to find the GCF of 92820 and 92833?

We will first find the prime factorization of 92820 and 92833. After we will calculate the factors of 92820 and 92833 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 92833

Prime factors of 92833 are 13, 37, 193. Prime factorization of 92833 in exponential form is:

92833 = 13¹ × 37¹ × 193¹

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 92833

List of positive integer factors of 92833 that divides 92820 without a remainder.

1, 13, 37, 193, 481, 2509, 7141

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92820 and 92833. The biggest common factor number is the GCF number.
So the greatest common factor 92820 and 92833 is 13.

Also check out the Least Common Multiple of 92820 and 92833