What is the Greatest Common Factor of 96360 and 96367?

Greatest common factor (GCF) of 96360 and 96367 is 1.

GCF(96360,96367) = 1

We will now calculate the prime factors of 96360 and 96367, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96360 and 96367.

How to find the GCF of 96360 and 96367?

We will first find the prime factorization of 96360 and 96367. After we will calculate the factors of 96360 and 96367 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 96367

Prime factors of 96367 are 29, 3323. Prime factorization of 96367 in exponential form is:

96367 = 29¹ × 3323¹

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 96367

List of positive integer factors of 96367 that divides 96360 without a remainder.

1, 29, 3323

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96360 and 96367. The biggest common factor number is the GCF number.
So the greatest common factor 96360 and 96367 is 1.

Also check out the Least Common Multiple of 96360 and 96367