Greatest Common Factor of 2828 and 2829

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 2828, 2829 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2828 and 2829 is 1.

GCF(2828,2829) = 1

GCF of 2828 and 2829

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

GCF of:
and

Greatest Common Factor of 2828 and 2829

GCF of 2828 and 2829 is 1

Prime Factorization of 2828


2 2828
2 1414
7 707
101 101
1

Prime factors of 2828 are 2,7,101. Prime factorization of 2828 in exponential form is:

2828 = 22×71×1011

Prime Factorization of 2829


3 2829
23 943
41 41
1

Prime factors of 2829 are 3,23,41. Prime factorization of 2829 in exponential form is:

2829 = 31×231×411

∴ So by taking common prime factors GCF of 2828 and 2829 is 1

Greatest Common Factor of 2828 and 2829 by matching factors method

Factors of 2828

List of positive integer factors of 2828 that divides 2828 without a remainder.

1,2,4,7,14,28,101,202,404,707,1414,2828

Factors of 2829

List of positive integer factors of 2829 that divides 2829 without a remainder.

1,3,23,41,69,123,943,2829

Greatest Common Factor

We found the factors and prime factorization of 2828 and 2829. The biggest common factor number is the GCF number.
So the greatest common factor 2828 and 2829 is 1.

Also check out the Least Common Multiple of 2828 and 2829

Properties of GCF 2828 and 2829

(i) The GCF of 2828 and 2829 is associative

GCF of 2828 and 2829 = GCF of 2829 and 2828

Related Greatest Common Factor of 2828

Related Greatest Common Factor of 2829

Frequently Asked Questions on GCF of 2828 and 2829

1. What is the GCF of 2828 and 2829?

Answer: GCF of 2828 and 2829 is 1.

2. What are the Factors of 2828?

Answer: Factors of 2828 are 1, 2, 4, 7, 14, 28, 101, 202, 404, 707, 1414, 2828. There are 12 integers that are factors of 2828. The greatest factor of 2828 is 2828.

3. What are the Factors of 2829?

Answer: Factors of 2829 are 1, 3, 23, 41, 69, 123, 943, 2829. There are 8 integers that are factors of 2829. The greatest factor of 2829 is 2829.

4. How to Find the GCF of 2828 and 2829?

Answer:

Greatest Common Factor of 2828 and 2829 = 1

Step 1: Find the prime factorization of 2828

2828 = 2 x 2 x 7 x 101

Step 2: Find the prime factorization of 2829

2829 = 3 x 23 x 41

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 2828 and 2829 is 1