What is the Greatest Common Factor of 96342 and 96360?

Greatest common factor (GCF) of 96342 and 96360 is 6.

GCF(96342,96360) = 6

We will now calculate the prime factors of 96342 and 96360, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96342 and 96360.

How to find the GCF of 96342 and 96360?

We will first find the prime factorization of 96342 and 96360. After we will calculate the factors of 96342 and 96360 and find the biggest common factor number .

Step-1: Prime Factorization of 96342

Prime factors of 96342 are 2, 3, 16057. Prime factorization of 96342 in exponential form is:

96342 = 2¹ × 3¹ × 16057¹

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 96342

List of positive integer factors of 96342 that divides 96342 without a remainder.

1, 2, 3, 6, 16057, 32114, 48171

Step-4: Factors of 96360

List of positive integer factors of 96360 that divides 96342 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 96342 and 96360. The biggest common factor number is the GCF number.
So the greatest common factor 96342 and 96360 is 6.

Also check out the Least Common Multiple of 96342 and 96360