What is the Greatest Common Factor of 96032 and 96044?

Greatest common factor (GCF) of 96032 and 96044 is 4.

GCF(96032,96044) = 4

We will now calculate the prime factors of 96032 and 96044, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96032 and 96044.

How to find the GCF of 96032 and 96044?

We will first find the prime factorization of 96032 and 96044. After we will calculate the factors of 96032 and 96044 and find the biggest common factor number .

Step-1: Prime Factorization of 96032

Prime factors of 96032 are 2, 3001. Prime factorization of 96032 in exponential form is:

96032 = 2⁵ × 3001¹

Step-2: Prime Factorization of 96044

Prime factors of 96044 are 2, 13, 1847. Prime factorization of 96044 in exponential form is:

96044 = 2² × 13¹ × 1847¹

Step-3: Factors of 96032

List of positive integer factors of 96032 that divides 96032 without a remainder.

1, 2, 4, 8, 16, 32, 3001, 6002, 12004, 24008, 48016

Step-4: Factors of 96044

List of positive integer factors of 96044 that divides 96032 without a remainder.

1, 2, 4, 13, 26, 52, 1847, 3694, 7388, 24011, 48022

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96032 and 96044. The biggest common factor number is the GCF number.
So the greatest common factor 96032 and 96044 is 4.

Also check out the Least Common Multiple of 96032 and 96044