Greatest Common Factor of 1022 and 1029

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, 1029 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1022 and 1029 is 7.

GCF(1022,1029) = 7

GCF of 1022 and 1029

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

GCF of:
and

Greatest Common Factor of 1022 and 1029

GCF of 1022 and 1029 is 7

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 1029


3 1029
7 343
7 49
7 7
1

Prime factors of 1029 are 3,7. Prime factorization of 1029 in exponential form is:

1029 = 31×73

∴ So by taking common prime factors GCF of 1022 and 1029 is 7

Greatest Common Factor of 1022 and 1029 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 1029

List of positive integer factors of 1029 that divides 1029 without a remainder.

1,3,7,21,49,147,343,1029

Greatest Common Factor

We found the factors and prime factorization of 1022 and 1029. The biggest common factor number is the GCF number.
So the greatest common factor 1022 and 1029 is 7.

Also check out the Least Common Multiple of 1022 and 1029

Properties of GCF 1022 and 1029

(i) The GCF of 1022 and 1029 is associative

GCF of 1022 and 1029 = GCF of 1029 and 1022

Related Greatest Common Factor of 1022

Related Greatest Common Factor of 1029

Frequently Asked Questions on GCF of 1022 and 1029

1. What is the GCF of 1022 and 1029?

Answer: GCF of 1022 and 1029 is 7.

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 1029?

Answer: Factors of 1029 are 1, 3, 7, 21, 49, 147, 343, 1029. There are 8 integers that are factors of 1029. The greatest factor of 1029 is 1029.

4. How to Find the GCF of 1022 and 1029?

Answer:

Greatest Common Factor of 1022 and 1029 = 7

Step 1: Find the prime factorization of 1022

1022 = 2 x 7 x 73

Step 2: Find the prime factorization of 1029

1029 = 3 x 7 x 7 x 7

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

GCF = 7

Step 4: Therefore, the greatest common factor of 1022 and 1029 is 7