What is the Greatest Common Factor of 96345 and 96351?

Greatest common factor (GCF) of 96345 and 96351 is 3.

GCF(96345,96351) = 3

We will now calculate the prime factors of 96345 and 96351, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96345 and 96351.

How to find the GCF of 96345 and 96351?

We will first find the prime factorization of 96345 and 96351. After we will calculate the factors of 96345 and 96351 and find the biggest common factor number .

Step-1: Prime Factorization of 96345

Prime factors of 96345 are 3, 5, 2141. Prime factorization of 96345 in exponential form is:

96345 = 3² × 5¹ × 2141¹

Step-2: Prime Factorization of 96351

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

96351 = 3¹ × 32117¹

Step-3: Factors of 96345

List of positive integer factors of 96345 that divides 96345 without a remainder.

1, 3, 5, 9, 15, 45, 2141, 6423, 10705, 19269, 32115

Step-4: Factors of 96351

List of positive integer factors of 96351 that divides 96345 without a remainder.

1, 3, 32117

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96345 and 96351. The biggest common factor number is the GCF number.
So the greatest common factor 96345 and 96351 is 3.

Also check out the Least Common Multiple of 96345 and 96351