What is the Greatest Common Factor of 96360 and 96378?

Greatest common factor (GCF) of 96360 and 96378 is 6.

GCF(96360,96378) = 6

We will now calculate the prime factors of 96360 and 96378, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96360 and 96378.

How to find the GCF of 96360 and 96378?

We will first find the prime factorization of 96360 and 96378. After we will calculate the factors of 96360 and 96378 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 96378

Prime factors of 96378 are 2, 3, 16063. Prime factorization of 96378 in exponential form is:

96378 = 2¹ × 3¹ × 16063¹

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 96378

List of positive integer factors of 96378 that divides 96360 without a remainder.

1, 2, 3, 6, 16063, 32126, 48189

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96360 and 96378. The biggest common factor number is the GCF number.
So the greatest common factor 96360 and 96378 is 6.

Also check out the Least Common Multiple of 96360 and 96378