What is the Greatest Common Factor of 93600 and 93618?

Greatest common factor (GCF) of 93600 and 93618 is 18.

GCF(93600,93618) = 18

We will now calculate the prime factors of 93600 and 93618, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93600 and 93618.

How to find the GCF of 93600 and 93618?

We will first find the prime factorization of 93600 and 93618. After we will calculate the factors of 93600 and 93618 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 93618

Prime factors of 93618 are 2, 3, 7, 743. Prime factorization of 93618 in exponential form is:

93618 = 2¹ × 3² × 7¹ × 743¹

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 93618

List of positive integer factors of 93618 that divides 93600 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126, 743, 1486, 2229, 4458, 5201, 6687, 10402, 13374, 15603, 31206, 46809

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93600 and 93618. The biggest common factor number is the GCF number.
So the greatest common factor 93600 and 93618 is 18.

Also check out the Least Common Multiple of 93600 and 93618