What is the Greatest Common Factor of 96360 and 96375?

Greatest common factor (GCF) of 96360 and 96375 is 15.

GCF(96360,96375) = 15

We will now calculate the prime factors of 96360 and 96375, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96360 and 96375.

How to find the GCF of 96360 and 96375?

We will first find the prime factorization of 96360 and 96375. After we will calculate the factors of 96360 and 96375 and find the biggest common factor number .

Step-1: Prime Factorization of 96360

Prime factors of 96360 are 2, 3, 5, 11, 73. Prime factorization of 96360 in exponential form is:

96360 = 2³ × 3¹ × 5¹ × 11¹ × 73¹

Step-2: Prime Factorization of 96375

Prime factors of 96375 are 3, 5, 257. Prime factorization of 96375 in exponential form is:

96375 = 3¹ × 5³ × 257¹

Step-3: Factors of 96360

List of positive integer factors of 96360 that divides 96360 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 11, 12, 15, 20, 22, 24, 30, 33, 40, 44, 55, 60, 66, 73, 88, 110, 120, 132, 146, 165, 219, 220, 264, 292, 330, 365, 438, 440, 584, 660, 730, 803, 876, 1095, 1320, 1460, 1606, 1752, 2190, 2409, 2920, 3212, 4015, 4380, 4818, 6424, 8030, 8760, 9636, 12045, 16060, 19272, 24090, 32120, 48180

Step-4: Factors of 96375

List of positive integer factors of 96375 that divides 96360 without a remainder.

1, 3, 5, 15, 25, 75, 125, 257, 375, 771, 1285, 3855, 6425, 19275, 32125

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96360 and 96375. The biggest common factor number is the GCF number.
So the greatest common factor 96360 and 96375 is 15.

Also check out the Least Common Multiple of 96360 and 96375