What is the Greatest Common Factor of 96340 and 96360?

Greatest common factor (GCF) of 96340 and 96360 is 20.

GCF(96340,96360) = 20

We will now calculate the prime factors of 96340 and 96360, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96340 and 96360.

How to find the GCF of 96340 and 96360?

We will first find the prime factorization of 96340 and 96360. After we will calculate the factors of 96340 and 96360 and find the biggest common factor number .

Step-1: Prime Factorization of 96340

Prime factors of 96340 are 2, 5, 4817. Prime factorization of 96340 in exponential form is:

96340 = 2² × 5¹ × 4817¹

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 96340

List of positive integer factors of 96340 that divides 96340 without a remainder.

1, 2, 4, 5, 10, 20, 4817, 9634, 19268, 24085, 48170

Step-4: Factors of 96360

List of positive integer factors of 96360 that divides 96340 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 96340 and 96360. The biggest common factor number is the GCF number.
So the greatest common factor 96340 and 96360 is 20.

Also check out the Least Common Multiple of 96340 and 96360