Greatest Common Factor of 1024 and 1028

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 1024, 1028 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1024 and 1028 is 4.

GCF(1024,1028) = 4

GCF of 1024 and 1028

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 1024 and 1028

GCF of 1024 and 1028 is 4

Prime Factorization of 1024


2 1024
2 512
2 256
2 128
2 64
2 32
2 16
2 8
2 4
2 2
1

Prime factors of 1024 are 2. Prime factorization of 1024 in exponential form is:

1024 = 210

Prime Factorization of 1028


2 1028
2 514
257 257
1

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

1028 = 22×2571

∴ So by taking common prime factors GCF of 1024 and 1028 is 4

Greatest Common Factor of 1024 and 1028 by matching factors method

Factors of 1024

List of positive integer factors of 1024 that divides 1024 without a remainder.

1,2,4,8,16,32,64,128,256,512,1024

Factors of 1028

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

1,2,4,257,514,1028

Greatest Common Factor

We found the factors and prime factorization of 1024 and 1028. The biggest common factor number is the GCF number.
So the greatest common factor 1024 and 1028 is 4.

Also check out the Least Common Multiple of 1024 and 1028

Properties of GCF 1024 and 1028

(i) The GCF of 1024 and 1028 is associative

GCF of 1024 and 1028 = GCF of 1028 and 1024

Related Greatest Common Factor of 1024

Related Greatest Common Factor of 1028

Frequently Asked Questions on GCF of 1024 and 1028

1. What is the GCF of 1024 and 1028?

Answer: GCF of 1024 and 1028 is 4.

2. What are the Factors of 1024?

Answer: Factors of 1024 are 1, 2, 4, 8, 16, 32, 64, 128, 256, 512, 1024. There are 11 integers that are factors of 1024. The greatest factor of 1024 is 1024.

3. What are the Factors of 1028?

Answer: Factors of 1028 are 1, 2, 4, 257, 514, 1028. There are 6 integers that are factors of 1028. The greatest factor of 1028 is 1028.

4. How to Find the GCF of 1024 and 1028?

Answer:

Greatest Common Factor of 1024 and 1028 = 4

Step 1: Find the prime factorization of 1024

1024 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

Step 2: Find the prime factorization of 1028

1028 = 2 x 2 x 257

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 1024 and 1028 is 4