Greatest Common Factor of 1028 and 1034

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 1028, 1034 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1028 and 1034 is 2.

GCF(1028,1034) = 2

GCF of 1028 and 1034

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

GCF of:
and

Greatest Common Factor of 1028 and 1034

GCF of 1028 and 1034 is 2

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

Prime Factorization of 1034


2 1034
11 517
47 47
1

Prime factors of 1034 are 2,11,47. Prime factorization of 1034 in exponential form is:

1034 = 21×111×471

∴ So by taking common prime factors GCF of 1028 and 1034 is 2

Greatest Common Factor of 1028 and 1034 by matching factors method

Factors of 1028

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

1,2,4,257,514,1028

Factors of 1034

List of positive integer factors of 1034 that divides 1034 without a remainder.

1,2,11,22,47,94,517,1034

Greatest Common Factor

We found the factors and prime factorization of 1028 and 1034. The biggest common factor number is the GCF number.
So the greatest common factor 1028 and 1034 is 2.

Also check out the Least Common Multiple of 1028 and 1034

Properties of GCF 1028 and 1034

(i) The GCF of 1028 and 1034 is associative

GCF of 1028 and 1034 = GCF of 1034 and 1028

Related Greatest Common Factor of 1028

Related Greatest Common Factor of 1034

Frequently Asked Questions on GCF of 1028 and 1034

1. What is the GCF of 1028 and 1034?

Answer: GCF of 1028 and 1034 is 2.

2. 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.

3. What are the Factors of 1034?

Answer: Factors of 1034 are 1, 2, 11, 22, 47, 94, 517, 1034. There are 8 integers that are factors of 1034. The greatest factor of 1034 is 1034.

4. How to Find the GCF of 1028 and 1034?

Answer:

Greatest Common Factor of 1028 and 1034 = 2

Step 1: Find the prime factorization of 1028

1028 = 2 x 2 x 257

Step 2: Find the prime factorization of 1034

1034 = 2 x 11 x 47

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 1028 and 1034 is 2