What is the Greatest Common Factor of 3022 and 3028?

Greatest common factor (GCF) of 3022 and 3028 is 2.

GCF(3022,3028) = 2

We will now calculate the prime factors of 3022 and 3028, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3022 and 3028.

How to find the GCF of 3022 and 3028?

We will first find the prime factorization of 3022 and 3028. After we will calculate the factors of 3022 and 3028 and find the biggest common factor number .

Step-1: Prime Factorization of 3022

Prime factors of 3022 are 2, 1511. Prime factorization of 3022 in exponential form is:

3022 = 2¹ × 1511¹

Step-2: Prime Factorization of 3028

Prime factors of 3028 are 2, 757. Prime factorization of 3028 in exponential form is:

3028 = 2² × 757¹

Step-3: Factors of 3022

List of positive integer factors of 3022 that divides 3022 without a remainder.

1, 2, 1511

Step-4: Factors of 3028

List of positive integer factors of 3028 that divides 3022 without a remainder.

1, 2, 4, 757, 1514

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3022 and 3028. The biggest common factor number is the GCF number.
So the greatest common factor 3022 and 3028 is 2.

Also check out the Least Common Multiple of 3022 and 3028