What is the Greatest Common Factor of 96022 and 96032?

Greatest common factor (GCF) of 96022 and 96032 is 2.

GCF(96022,96032) = 2

We will now calculate the prime factors of 96022 and 96032, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96022 and 96032.

How to find the GCF of 96022 and 96032?

We will first find the prime factorization of 96022 and 96032. After we will calculate the factors of 96022 and 96032 and find the biggest common factor number .

Step-1: Prime Factorization of 96022

Prime factors of 96022 are 2, 41, 1171. Prime factorization of 96022 in exponential form is:

96022 = 2¹ × 41¹ × 1171¹

Step-2: Prime Factorization of 96032

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

96032 = 2⁵ × 3001¹

Step-3: Factors of 96022

List of positive integer factors of 96022 that divides 96022 without a remainder.

1, 2, 41, 82, 1171, 2342, 48011

Step-4: Factors of 96032

List of positive integer factors of 96032 that divides 96022 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96022 and 96032. The biggest common factor number is the GCF number.
So the greatest common factor 96022 and 96032 is 2.

Also check out the Least Common Multiple of 96022 and 96032