What is the Greatest Common Factor of 1028 and 1044?

Greatest common factor (GCF) of 1028 and 1044 is 4.

GCF(1028,1044) = 4

We will now calculate the prime factors of 1028 and 1044, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1028 and 1044.

How to find the GCF of 1028 and 1044?

We will first find the prime factorization of 1028 and 1044. After we will calculate the factors of 1028 and 1044 and find the biggest common factor number .

Step-1: Prime Factorization of 1028

Prime factors of 1028 are 2, 257. Prime factorization of 1028 in exponential form is:

1028 = 2² × 257¹

Step-2: Prime Factorization of 1044

Prime factors of 1044 are 2, 3, 29. Prime factorization of 1044 in exponential form is:

1044 = 2² × 3² × 29¹

Step-3: Factors of 1028

List of positive integer factors of 1028 that divides 1028 without a remainder.

1, 2, 4, 257, 514

Step-4: Factors of 1044

List of positive integer factors of 1044 that divides 1028 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 29, 36, 58, 87, 116, 174, 261, 348, 522

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1028 and 1044. The biggest common factor number is the GCF number.
So the greatest common factor 1028 and 1044 is 4.

Also check out the Least Common Multiple of 1028 and 1044