Greatest Common Factor of 3016 and 3022

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 3016, 3022 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3016 and 3022 is 2.

GCF(3016,3022) = 2

GCF of 3016 and 3022

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

GCF of:
and

Greatest Common Factor of 3016 and 3022

GCF of 3016 and 3022 is 2

Prime Factorization of 3016


2 3016
2 1508
2 754
13 377
29 29
1

Prime factors of 3016 are 2,13,29. Prime factorization of 3016 in exponential form is:

3016 = 23×131×291

Prime Factorization of 3022


2 3022
1511 1511
1

Prime factors of 3022 are 2,1511. Prime factorization of 3022 in exponential form is:

3022 = 21×15111

∴ So by taking common prime factors GCF of 3016 and 3022 is 2

Greatest Common Factor of 3016 and 3022 by matching factors method

Factors of 3016

List of positive integer factors of 3016 that divides 3016 without a remainder.

1,2,4,8,13,26,29,52,58,104,116,232,377,754,1508,3016

Factors of 3022

List of positive integer factors of 3022 that divides 3022 without a remainder.

1,2,1511,3022

Greatest Common Factor

We found the factors and prime factorization of 3016 and 3022. The biggest common factor number is the GCF number.
So the greatest common factor 3016 and 3022 is 2.

Also check out the Least Common Multiple of 3016 and 3022

Properties of GCF 3016 and 3022

(i) The GCF of 3016 and 3022 is associative

GCF of 3016 and 3022 = GCF of 3022 and 3016

Related Greatest Common Factor of 3016

Related Greatest Common Factor of 3022

Frequently Asked Questions on GCF of 3016 and 3022

1. What is the GCF of 3016 and 3022?

Answer: GCF of 3016 and 3022 is 2.

2. What are the Factors of 3016?

Answer: Factors of 3016 are 1, 2, 4, 8, 13, 26, 29, 52, 58, 104, 116, 232, 377, 754, 1508, 3016. There are 16 integers that are factors of 3016. The greatest factor of 3016 is 3016.

3. What are the Factors of 3022?

Answer: Factors of 3022 are 1, 2, 1511, 3022. There are 4 integers that are factors of 3022. The greatest factor of 3022 is 3022.

4. How to Find the GCF of 3016 and 3022?

Answer:

Greatest Common Factor of 3016 and 3022 = 2

Step 1: Find the prime factorization of 3016

3016 = 2 x 2 x 2 x 13 x 29

Step 2: Find the prime factorization of 3022

3022 = 2 x 1511

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 3016 and 3022 is 2