Greatest Common Factor of 1022 and 1030

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, 1030 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1022 and 1030 is 2.

GCF(1022,1030) = 2

GCF of 1022 and 1030

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

GCF of:
and

Greatest Common Factor of 1022 and 1030

GCF of 1022 and 1030 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 1030


2 1030
5 515
103 103
1

Prime factors of 1030 are 2,5,103. Prime factorization of 1030 in exponential form is:

1030 = 21×51×1031

∴ So by taking common prime factors GCF of 1022 and 1030 is 2

Greatest Common Factor of 1022 and 1030 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 1030

List of positive integer factors of 1030 that divides 1030 without a remainder.

1,2,5,10,103,206,515,1030

Greatest Common Factor

We found the factors and prime factorization of 1022 and 1030. The biggest common factor number is the GCF number.
So the greatest common factor 1022 and 1030 is 2.

Also check out the Least Common Multiple of 1022 and 1030

Properties of GCF 1022 and 1030

(i) The GCF of 1022 and 1030 is associative

GCF of 1022 and 1030 = GCF of 1030 and 1022

Related Greatest Common Factor of 1022

Related Greatest Common Factor of 1030

Frequently Asked Questions on GCF of 1022 and 1030

1. What is the GCF of 1022 and 1030?

Answer: GCF of 1022 and 1030 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 1030?

Answer: Factors of 1030 are 1, 2, 5, 10, 103, 206, 515, 1030. There are 8 integers that are factors of 1030. The greatest factor of 1030 is 1030.

4. How to Find the GCF of 1022 and 1030?

Answer:

Greatest Common Factor of 1022 and 1030 = 2

Step 1: Find the prime factorization of 1022

1022 = 2 x 7 x 73

Step 2: Find the prime factorization of 1030

1030 = 2 x 5 x 103

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 1030 is 2