What is the Greatest Common Factor of 96328 and 96342?

Greatest common factor (GCF) of 96328 and 96342 is 2.

GCF(96328,96342) = 2

We will now calculate the prime factors of 96328 and 96342, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96328 and 96342.

How to find the GCF of 96328 and 96342?

We will first find the prime factorization of 96328 and 96342. After we will calculate the factors of 96328 and 96342 and find the biggest common factor number .

Step-1: Prime Factorization of 96328

Prime factors of 96328 are 2, 12041. Prime factorization of 96328 in exponential form is:

96328 = 2³ × 12041¹

Step-2: Prime Factorization of 96342

Prime factors of 96342 are 2, 3, 16057. Prime factorization of 96342 in exponential form is:

96342 = 2¹ × 3¹ × 16057¹

Step-3: Factors of 96328

List of positive integer factors of 96328 that divides 96328 without a remainder.

1, 2, 4, 8, 12041, 24082, 48164

Step-4: Factors of 96342

List of positive integer factors of 96342 that divides 96328 without a remainder.

1, 2, 3, 6, 16057, 32114, 48171

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96328 and 96342. The biggest common factor number is the GCF number.
So the greatest common factor 96328 and 96342 is 2.

Also check out the Least Common Multiple of 96328 and 96342