Greatest Common Factor of 1022 and 1026

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, 1026 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1022 and 1026 is 2.

GCF(1022,1026) = 2

GCF of 1022 and 1026

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

GCF of:
and

Greatest Common Factor of 1022 and 1026

GCF of 1022 and 1026 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 1026


2 1026
3 513
3 171
3 57
19 19
1

Prime factors of 1026 are 2,3,19. Prime factorization of 1026 in exponential form is:

1026 = 21×33×191

∴ So by taking common prime factors GCF of 1022 and 1026 is 2

Greatest Common Factor of 1022 and 1026 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 1026

List of positive integer factors of 1026 that divides 1026 without a remainder.

1,2,3,6,9,18,19,27,38,54,57,114,171,342,513,1026

Greatest Common Factor

We found the factors and prime factorization of 1022 and 1026. The biggest common factor number is the GCF number.
So the greatest common factor 1022 and 1026 is 2.

Also check out the Least Common Multiple of 1022 and 1026

Properties of GCF 1022 and 1026

(i) The GCF of 1022 and 1026 is associative

GCF of 1022 and 1026 = GCF of 1026 and 1022

Related Greatest Common Factor of 1022

Related Greatest Common Factor of 1026

Frequently Asked Questions on GCF of 1022 and 1026

1. What is the GCF of 1022 and 1026?

Answer: GCF of 1022 and 1026 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 1026?

Answer: Factors of 1026 are 1, 2, 3, 6, 9, 18, 19, 27, 38, 54, 57, 114, 171, 342, 513, 1026. There are 16 integers that are factors of 1026. The greatest factor of 1026 is 1026.

4. How to Find the GCF of 1022 and 1026?

Answer:

Greatest Common Factor of 1022 and 1026 = 2

Step 1: Find the prime factorization of 1022

1022 = 2 x 7 x 73

Step 2: Find the prime factorization of 1026

1026 = 2 x 3 x 3 x 3 x 19

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 1026 is 2