What is the Greatest Common Factor of 92400 and 92408?

Greatest common factor (GCF) of 92400 and 92408 is 8.

GCF(92400,92408) = 8

We will now calculate the prime factors of 92400 and 92408, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92400 and 92408.

How to find the GCF of 92400 and 92408?

We will first find the prime factorization of 92400 and 92408. After we will calculate the factors of 92400 and 92408 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 92408

Prime factors of 92408 are 2, 11551. Prime factorization of 92408 in exponential form is:

92408 = 2³ × 11551¹

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 92408

List of positive integer factors of 92408 that divides 92400 without a remainder.

1, 2, 4, 8, 11551, 23102, 46204

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92400 and 92408. The biggest common factor number is the GCF number.
So the greatest common factor 92400 and 92408 is 8.

Also check out the Least Common Multiple of 92400 and 92408