What is the Greatest Common Factor of 96345 and 96360?

Greatest common factor (GCF) of 96345 and 96360 is 15.

GCF(96345,96360) = 15

We will now calculate the prime factors of 96345 and 96360, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96345 and 96360.

How to find the GCF of 96345 and 96360?

We will first find the prime factorization of 96345 and 96360. After we will calculate the factors of 96345 and 96360 and find the biggest common factor number .

Step-1: Prime Factorization of 96345

Prime factors of 96345 are 3, 5, 2141. Prime factorization of 96345 in exponential form is:

96345 = 3² × 5¹ × 2141¹

Step-2: 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-3: Factors of 96345

List of positive integer factors of 96345 that divides 96345 without a remainder.

1, 3, 5, 9, 15, 45, 2141, 6423, 10705, 19269, 32115

Step-4: Factors of 96360

List of positive integer factors of 96360 that divides 96345 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96345 and 96360. The biggest common factor number is the GCF number.
So the greatest common factor 96345 and 96360 is 15.

Also check out the Least Common Multiple of 96345 and 96360