What is the Greatest Common Factor of 96352 and 96358?

Greatest common factor (GCF) of 96352 and 96358 is 2.

GCF(96352,96358) = 2

We will now calculate the prime factors of 96352 and 96358, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96352 and 96358.

How to find the GCF of 96352 and 96358?

We will first find the prime factorization of 96352 and 96358. After we will calculate the factors of 96352 and 96358 and find the biggest common factor number .

Step-1: Prime Factorization of 96352

Prime factors of 96352 are 2, 3011. Prime factorization of 96352 in exponential form is:

96352 = 2⁵ × 3011¹

Step-2: Prime Factorization of 96358

Prime factors of 96358 are 2, 48179. Prime factorization of 96358 in exponential form is:

96358 = 2¹ × 48179¹

Step-3: Factors of 96352

List of positive integer factors of 96352 that divides 96352 without a remainder.

1, 2, 4, 8, 16, 32, 3011, 6022, 12044, 24088, 48176

Step-4: Factors of 96358

List of positive integer factors of 96358 that divides 96352 without a remainder.

1, 2, 48179

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96352 and 96358. The biggest common factor number is the GCF number.
So the greatest common factor 96352 and 96358 is 2.

Also check out the Least Common Multiple of 96352 and 96358