What is the Greatest Common Factor of 96396 and 96414?

Greatest common factor (GCF) of 96396 and 96414 is 6.

GCF(96396,96414) = 6

We will now calculate the prime factors of 96396 and 96414, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96396 and 96414.

How to find the GCF of 96396 and 96414?

We will first find the prime factorization of 96396 and 96414. After we will calculate the factors of 96396 and 96414 and find the biggest common factor number .

Step-1: Prime Factorization of 96396

Prime factors of 96396 are 2, 3, 29, 277. Prime factorization of 96396 in exponential form is:

96396 = 2² × 3¹ × 29¹ × 277¹

Step-2: Prime Factorization of 96414

Prime factors of 96414 are 2, 3, 16069. Prime factorization of 96414 in exponential form is:

96414 = 2¹ × 3¹ × 16069¹

Step-3: Factors of 96396

List of positive integer factors of 96396 that divides 96396 without a remainder.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 277, 348, 554, 831, 1108, 1662, 3324, 8033, 16066, 24099, 32132, 48198

Step-4: Factors of 96414

List of positive integer factors of 96414 that divides 96396 without a remainder.

1, 2, 3, 6, 16069, 32138, 48207

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96396 and 96414. The biggest common factor number is the GCF number.
So the greatest common factor 96396 and 96414 is 6.

Also check out the Least Common Multiple of 96396 and 96414