What is the Greatest Common Factor of 96351 and 96369?

Greatest common factor (GCF) of 96351 and 96369 is 3.

GCF(96351,96369) = 3

We will now calculate the prime factors of 96351 and 96369, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96351 and 96369.

How to find the GCF of 96351 and 96369?

We will first find the prime factorization of 96351 and 96369. After we will calculate the factors of 96351 and 96369 and find the biggest common factor number .

Step-1: Prime Factorization of 96351

Prime factors of 96351 are 3, 32117. Prime factorization of 96351 in exponential form is:

96351 = 3¹ × 32117¹

Step-2: Prime Factorization of 96369

Prime factors of 96369 are 3, 7, 13, 353. Prime factorization of 96369 in exponential form is:

96369 = 3¹ × 7¹ × 13¹ × 353¹

Step-3: Factors of 96351

List of positive integer factors of 96351 that divides 96351 without a remainder.

1, 3, 32117

Step-4: Factors of 96369

List of positive integer factors of 96369 that divides 96351 without a remainder.

1, 3, 7, 13, 21, 39, 91, 273, 353, 1059, 2471, 4589, 7413, 13767, 32123

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96351 and 96369. The biggest common factor number is the GCF number.
So the greatest common factor 96351 and 96369 is 3.

Also check out the Least Common Multiple of 96351 and 96369