What is the Greatest Common Factor of 92400 and 92404?

Greatest common factor (GCF) of 92400 and 92404 is 4.

GCF(92400,92404) = 4

We will now calculate the prime factors of 92400 and 92404, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92400 and 92404.

How to find the GCF of 92400 and 92404?

We will first find the prime factorization of 92400 and 92404. After we will calculate the factors of 92400 and 92404 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 92404

Prime factors of 92404 are 2, 13, 1777. Prime factorization of 92404 in exponential form is:

92404 = 2² × 13¹ × 1777¹

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 92404

List of positive integer factors of 92404 that divides 92400 without a remainder.

1, 2, 4, 13, 26, 52, 1777, 3554, 7108, 23101, 46202

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92400 and 92404. The biggest common factor number is the GCF number.
So the greatest common factor 92400 and 92404 is 4.

Also check out the Least Common Multiple of 92400 and 92404