What is the Greatest Common Factor of 96932 and 96946?

Greatest common factor (GCF) of 96932 and 96946 is 2.

GCF(96932,96946) = 2

We will now calculate the prime factors of 96932 and 96946, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96932 and 96946.

How to find the GCF of 96932 and 96946?

We will first find the prime factorization of 96932 and 96946. After we will calculate the factors of 96932 and 96946 and find the biggest common factor number .

Step-1: Prime Factorization of 96932

Prime factors of 96932 are 2, 11, 2203. Prime factorization of 96932 in exponential form is:

96932 = 2² × 11¹ × 2203¹

Step-2: Prime Factorization of 96946

Prime factors of 96946 are 2, 48473. Prime factorization of 96946 in exponential form is:

96946 = 2¹ × 48473¹

Step-3: Factors of 96932

List of positive integer factors of 96932 that divides 96932 without a remainder.

1, 2, 4, 11, 22, 44, 2203, 4406, 8812, 24233, 48466

Step-4: Factors of 96946

List of positive integer factors of 96946 that divides 96932 without a remainder.

1, 2, 48473

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96932 and 96946. The biggest common factor number is the GCF number.
So the greatest common factor 96932 and 96946 is 2.

Also check out the Least Common Multiple of 96932 and 96946