What is the Greatest Common Factor of 92820 and 92837?

Greatest common factor (GCF) of 92820 and 92837 is 17.

GCF(92820,92837) = 17

We will now calculate the prime factors of 92820 and 92837, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92820 and 92837.

How to find the GCF of 92820 and 92837?

We will first find the prime factorization of 92820 and 92837. After we will calculate the factors of 92820 and 92837 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 92837

Prime factors of 92837 are 17, 43, 127. Prime factorization of 92837 in exponential form is:

92837 = 17¹ × 43¹ × 127¹

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 92837

List of positive integer factors of 92837 that divides 92820 without a remainder.

1, 17, 43, 127, 731, 2159, 5461

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92820 and 92837. The biggest common factor number is the GCF number.
So the greatest common factor 92820 and 92837 is 17.

Also check out the Least Common Multiple of 92820 and 92837