What is the Greatest Common Factor of 93600 and 93605?

Greatest common factor (GCF) of 93600 and 93605 is 5.

GCF(93600,93605) = 5

We will now calculate the prime factors of 93600 and 93605, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93600 and 93605.

How to find the GCF of 93600 and 93605?

We will first find the prime factorization of 93600 and 93605. After we will calculate the factors of 93600 and 93605 and find the biggest common factor number .

Step-1: Prime Factorization of 93600

Prime factors of 93600 are 2, 3, 5, 13. Prime factorization of 93600 in exponential form is:

93600 = 2⁵ × 3² × 5² × 13¹

Step-2: Prime Factorization of 93605

Prime factors of 93605 are 5, 97, 193. Prime factorization of 93605 in exponential form is:

93605 = 5¹ × 97¹ × 193¹

Step-3: Factors of 93600

List of positive integer factors of 93600 that divides 93600 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 13, 15, 16, 18, 20, 24, 25, 26, 30, 32, 36, 39, 40, 45, 48, 50, 52, 60, 65, 72, 75, 78, 80, 90, 96, 100, 104, 117, 120, 130, 144, 150, 156, 160, 180, 195, 200, 208, 225, 234, 240, 260, 288, 300, 312, 325, 360, 390, 400, 416, 450, 468, 480, 520, 585, 600, 624, 650, 720, 780, 800, 900, 936, 975, 1040, 1170, 1200, 1248, 1300, 1440, 1560, 1800, 1872, 1950, 2080, 2340, 2400, 2600, 2925, 3120, 3600, 3744, 3900, 4680, 5200, 5850, 6240, 7200, 7800, 9360, 10400, 11700, 15600, 18720, 23400, 31200, 46800

Step-4: Factors of 93605

List of positive integer factors of 93605 that divides 93600 without a remainder.

1, 5, 97, 193, 485, 965, 18721

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93600 and 93605. The biggest common factor number is the GCF number.
So the greatest common factor 93600 and 93605 is 5.

Also check out the Least Common Multiple of 93600 and 93605