What is the Greatest Common Factor of 92808 and 92820?

Greatest common factor (GCF) of 92808 and 92820 is 12.

GCF(92808,92820) = 12

We will now calculate the prime factors of 92808 and 92820, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92808 and 92820.

How to find the GCF of 92808 and 92820?

We will first find the prime factorization of 92808 and 92820. After we will calculate the factors of 92808 and 92820 and find the biggest common factor number .

Step-1: Prime Factorization of 92808

Prime factors of 92808 are 2, 3, 1289. Prime factorization of 92808 in exponential form is:

92808 = 2³ × 3² × 1289¹

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 92808

List of positive integer factors of 92808 that divides 92808 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 1289, 2578, 3867, 5156, 7734, 10312, 11601, 15468, 23202, 30936, 46404

Step-4: Factors of 92820

List of positive integer factors of 92820 that divides 92808 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 92808 and 92820. The biggest common factor number is the GCF number.
So the greatest common factor 92808 and 92820 is 12.

Also check out the Least Common Multiple of 92808 and 92820