What is the Greatest Common Factor of 96328 and 96346?

Greatest common factor (GCF) of 96328 and 96346 is 2.

GCF(96328,96346) = 2

We will now calculate the prime factors of 96328 and 96346, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96328 and 96346.

How to find the GCF of 96328 and 96346?

We will first find the prime factorization of 96328 and 96346. After we will calculate the factors of 96328 and 96346 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 96346

Prime factors of 96346 are 2, 67, 719. Prime factorization of 96346 in exponential form is:

96346 = 2¹ × 67¹ × 719¹

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 96346

List of positive integer factors of 96346 that divides 96328 without a remainder.

1, 2, 67, 134, 719, 1438, 48173

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96328 and 96346. The biggest common factor number is the GCF number.
So the greatest common factor 96328 and 96346 is 2.

Also check out the Least Common Multiple of 96328 and 96346