Greatest Common Factor of 1022 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 1022, 1028 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1022 and 1028 is 2.

GCF(1022,1028) = 2

GCF of 1022 and 1028

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

GCF of:
and

Greatest Common Factor of 1022 and 1028

GCF of 1022 and 1028 is 2

Prime Factorization of 1022


2 1022
7 511
73 73
1

Prime factors of 1022 are 2,7,73. Prime factorization of 1022 in exponential form is:

1022 = 21×71×731

Prime Factorization of 1028


2 1028
2 514
257 257
1

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

1028 = 22×2571

∴ So by taking common prime factors GCF of 1022 and 1028 is 2

Greatest Common Factor of 1022 and 1028 by matching factors method

Factors of 1022

List of positive integer factors of 1022 that divides 1022 without a remainder.

1,2,7,14,73,146,511,1022

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 1022 and 1028. The biggest common factor number is the GCF number.
So the greatest common factor 1022 and 1028 is 2.

Also check out the Least Common Multiple of 1022 and 1028

Properties of GCF 1022 and 1028

(i) The GCF of 1022 and 1028 is associative

GCF of 1022 and 1028 = GCF of 1028 and 1022

Related Greatest Common Factor of 1022

Related Greatest Common Factor of 1028

Frequently Asked Questions on GCF of 1022 and 1028

1. What is the GCF of 1022 and 1028?

Answer: GCF of 1022 and 1028 is 2.

2. What are the Factors of 1022?

Answer: Factors of 1022 are 1, 2, 7, 14, 73, 146, 511, 1022. There are 8 integers that are factors of 1022. The greatest factor of 1022 is 1022.

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 1022 and 1028?

Answer:

Greatest Common Factor of 1022 and 1028 = 2

Step 1: Find the prime factorization of 1022

1022 = 2 x 7 x 73

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

Step 4: Therefore, the greatest common factor of 1022 and 1028 is 2