What is the Greatest Common Factor of 96022 and 96028?

Greatest common factor (GCF) of 96022 and 96028 is 2.

GCF(96022,96028) = 2

We will now calculate the prime factors of 96022 and 96028, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96022 and 96028.

How to find the GCF of 96022 and 96028?

We will first find the prime factorization of 96022 and 96028. After we will calculate the factors of 96022 and 96028 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 96028

Prime factors of 96028 are 2, 24007. Prime factorization of 96028 in exponential form is:

96028 = 2² × 24007¹

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 96028

List of positive integer factors of 96028 that divides 96022 without a remainder.

1, 2, 4, 24007, 48014

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96022 and 96028. The biggest common factor number is the GCF number.
So the greatest common factor 96022 and 96028 is 2.

Also check out the Least Common Multiple of 96022 and 96028