What is the Greatest Common Factor of 96383 and 96396?

Greatest common factor (GCF) of 96383 and 96396 is 1.

GCF(96383,96396) = 1

We will now calculate the prime factors of 96383 and 96396, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96383 and 96396.

How to find the GCF of 96383 and 96396?

We will first find the prime factorization of 96383 and 96396. After we will calculate the factors of 96383 and 96396 and find the biggest common factor number .

Step-1: Prime Factorization of 96383

Prime factors of 96383 are 7, 281. Prime factorization of 96383 in exponential form is:

96383 = 7³ × 281¹

Step-2: 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-3: Factors of 96383

List of positive integer factors of 96383 that divides 96383 without a remainder.

1, 7, 49, 281, 343, 1967, 13769

Step-4: Factors of 96396

List of positive integer factors of 96396 that divides 96383 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96383 and 96396. The biggest common factor number is the GCF number.
So the greatest common factor 96383 and 96396 is 1.

Also check out the Least Common Multiple of 96383 and 96396