What is the Greatest Common Factor of 92400 and 92409?

Greatest common factor (GCF) of 92400 and 92409 is 3.

GCF(92400,92409) = 3

We will now calculate the prime factors of 92400 and 92409, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92400 and 92409.

How to find the GCF of 92400 and 92409?

We will first find the prime factorization of 92400 and 92409. After we will calculate the factors of 92400 and 92409 and find the biggest common factor number .

Step-1: Prime Factorization of 92400

Prime factors of 92400 are 2, 3, 5, 7, 11. Prime factorization of 92400 in exponential form is:

92400 = 2⁴ × 3¹ × 5² × 7¹ × 11¹

Step-2: Prime Factorization of 92409

Prime factors of 92409 are 3, 30803. Prime factorization of 92409 in exponential form is:

92409 = 3¹ × 30803¹

Step-3: Factors of 92400

List of positive integer factors of 92400 that divides 92400 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 10, 11, 12, 14, 15, 16, 20, 21, 22, 24, 25, 28, 30, 33, 35, 40, 42, 44, 48, 50, 55, 56, 60, 66, 70, 75, 77, 80, 84, 88, 100, 105, 110, 112, 120, 132, 140, 150, 154, 165, 168, 175, 176, 200, 210, 220, 231, 240, 264, 275, 280, 300, 308, 330, 336, 350, 385, 400, 420, 440, 462, 525, 528, 550, 560, 600, 616, 660, 700, 770, 825, 840, 880, 924, 1050, 1100, 1155, 1200, 1232, 1320, 1400, 1540, 1650, 1680, 1848, 1925, 2100, 2200, 2310, 2640, 2800, 3080, 3300, 3696, 3850, 4200, 4400, 4620, 5775, 6160, 6600, 7700, 8400, 9240, 11550, 13200, 15400, 18480, 23100, 30800, 46200

Step-4: Factors of 92409

List of positive integer factors of 92409 that divides 92400 without a remainder.

1, 3, 30803

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92400 and 92409. The biggest common factor number is the GCF number.
So the greatest common factor 92400 and 92409 is 3.

Also check out the Least Common Multiple of 92400 and 92409