Greatest Common Factor of 1016 and 1022

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 1016, 1022 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1016 and 1022 is 2.

GCF(1016,1022) = 2

GCF of 1016 and 1022

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

GCF of:
and

Greatest Common Factor of 1016 and 1022

GCF of 1016 and 1022 is 2

Prime Factorization of 1016


2 1016
2 508
2 254
127 127
1

Prime factors of 1016 are 2,127. Prime factorization of 1016 in exponential form is:

1016 = 23×1271

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

∴ So by taking common prime factors GCF of 1016 and 1022 is 2

Greatest Common Factor of 1016 and 1022 by matching factors method

Factors of 1016

List of positive integer factors of 1016 that divides 1016 without a remainder.

1,2,4,8,127,254,508,1016

Factors of 1022

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

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

Greatest Common Factor

We found the factors and prime factorization of 1016 and 1022. The biggest common factor number is the GCF number.
So the greatest common factor 1016 and 1022 is 2.

Also check out the Least Common Multiple of 1016 and 1022

Properties of GCF 1016 and 1022

(i) The GCF of 1016 and 1022 is associative

GCF of 1016 and 1022 = GCF of 1022 and 1016

Related Greatest Common Factor of 1016

Related Greatest Common Factor of 1022

Frequently Asked Questions on GCF of 1016 and 1022

1. What is the GCF of 1016 and 1022?

Answer: GCF of 1016 and 1022 is 2.

2. What are the Factors of 1016?

Answer: Factors of 1016 are 1, 2, 4, 8, 127, 254, 508, 1016. There are 8 integers that are factors of 1016. The greatest factor of 1016 is 1016.

3. 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.

4. How to Find the GCF of 1016 and 1022?

Answer:

Greatest Common Factor of 1016 and 1022 = 2

Step 1: Find the prime factorization of 1016

1016 = 2 x 2 x 2 x 127

Step 2: Find the prime factorization of 1022

1022 = 2 x 7 x 73

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 1016 and 1022 is 2