Greatest Common Factor of 3020 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 3020, 3022 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3020 and 3022 is 2.

GCF(3020,3022) = 2

GCF of 3020 and 3022

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

GCF of:
and

Greatest Common Factor of 3020 and 3022

GCF of 3020 and 3022 is 2

Prime Factorization of 3020


2 3020
2 1510
5 755
151 151
1

Prime factors of 3020 are 2,5,151. Prime factorization of 3020 in exponential form is:

3020 = 22×51×1511

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 3020 and 3022 is 2

Greatest Common Factor of 3020 and 3022 by matching factors method

Factors of 3020

List of positive integer factors of 3020 that divides 3020 without a remainder.

1,2,4,5,10,20,151,302,604,755,1510,3020

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 3020 and 3022. The biggest common factor number is the GCF number.
So the greatest common factor 3020 and 3022 is 2.

Also check out the Least Common Multiple of 3020 and 3022

Properties of GCF 3020 and 3022

(i) The GCF of 3020 and 3022 is associative

GCF of 3020 and 3022 = GCF of 3022 and 3020

Related Greatest Common Factor of 3020

Related Greatest Common Factor of 3022

Frequently Asked Questions on GCF of 3020 and 3022

1. What is the GCF of 3020 and 3022?

Answer: GCF of 3020 and 3022 is 2.

2. What are the Factors of 3020?

Answer: Factors of 3020 are 1, 2, 4, 5, 10, 20, 151, 302, 604, 755, 1510, 3020. There are 12 integers that are factors of 3020. The greatest factor of 3020 is 3020.

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 3020 and 3022?

Answer:

Greatest Common Factor of 3020 and 3022 = 2

Step 1: Find the prime factorization of 3020

3020 = 2 x 2 x 5 x 151

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 3020 and 3022 is 2