What is the Greatest Common Factor of 93600 and 93615?

Greatest common factor (GCF) of 93600 and 93615 is 15.

GCF(93600,93615) = 15

We will now calculate the prime factors of 93600 and 93615, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93600 and 93615.

How to find the GCF of 93600 and 93615?

We will first find the prime factorization of 93600 and 93615. After we will calculate the factors of 93600 and 93615 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 93615

Prime factors of 93615 are 3, 5, 79. Prime factorization of 93615 in exponential form is:

93615 = 3¹ × 5¹ × 79²

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 93615

List of positive integer factors of 93615 that divides 93600 without a remainder.

1, 3, 5, 15, 79, 237, 395, 1185, 6241, 18723, 31205

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93600 and 93615. The biggest common factor number is the GCF number.
So the greatest common factor 93600 and 93615 is 15.

Also check out the Least Common Multiple of 93600 and 93615