What is the Greatest Common Factor of 96360 and 96365?

Greatest common factor (GCF) of 96360 and 96365 is 5.

GCF(96360,96365) = 5

We will now calculate the prime factors of 96360 and 96365, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96360 and 96365.

How to find the GCF of 96360 and 96365?

We will first find the prime factorization of 96360 and 96365. After we will calculate the factors of 96360 and 96365 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 96365

Prime factors of 96365 are 5, 19273. Prime factorization of 96365 in exponential form is:

96365 = 5¹ × 19273¹

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 96365

List of positive integer factors of 96365 that divides 96360 without a remainder.

1, 5, 19273

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96360 and 96365. The biggest common factor number is the GCF number.
So the greatest common factor 96360 and 96365 is 5.

Also check out the Least Common Multiple of 96360 and 96365