Greatest Common Factor of 2837 and 2842

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 2837, 2842 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2837 and 2842 is 1.

GCF(2837,2842) = 1

GCF of 2837 and 2842

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

GCF of:
and

Greatest Common Factor of 2837 and 2842

GCF of 2837 and 2842 is 1

Prime Factorization of 2837


2837 2837
1

Prime factors of 2837 are 2837. Prime factorization of 2837 in exponential form is:

2837 = 28371

Prime Factorization of 2842


2 2842
7 1421
7 203
29 29
1

Prime factors of 2842 are 2.Prime factorization of 2842 in exponential form is:

2842 = 21×72×291

∴ So by taking common prime factors GCF of 2837 and 2842 is 1

Greatest Common Factor of 2837 and 2842 by matching factors method

Factors of 2837

List of positive integer factors of 2837 that divides 2837 without a remainder.

1,2837

Factors of 2842

List of positive integer factors of 2842 that divides 2842 without a remainder.

1,2,7,14,29,49,58,98,203,406,1421,2842

Greatest Common Factor

We found the factors and prime factorization of 2837 and 2842. The biggest common factor number is the GCF number.
So the greatest common factor 2837 and 2842 is 1.

Also check out the Least Common Multiple of 2837 and 2842

Properties of GCF 2837 and 2842

(i) The GCF of 2837 and 2842 is associative

GCF of 2837 and 2842 = GCF of 2842 and 2837

Frequently Asked Questions on GCF of 2837 and 2842

1. What is the GCF of 2837 and 2842?

Answer: GCF of 2837 and 2842 is 1.

2. What are the Factors of 2837?

Answer: Factors of 2837 are 1, 2837. There are 2 integers that are factors of 2837. The greatest factor of 2837 is 2837.

3. What are the Factors of 2842?

Answer: Factors of 2842 are 1, 2, 7, 14, 29, 49, 58, 98, 203, 406, 1421, 2842. There are 12 integers that are factors of 2842. The greatest factor of 2842 is 2842.

4. How to Find the GCF of 2837 and 2842?

Answer:

Greatest Common Factor of 2837 and 2842 = 1

Step 1: Find the prime factorization of 2837

2837 = 2837

Step 2: Find the prime factorization of 2842

2842 = 2 x 7 x 7 x 29

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 2837 and 2842 is 1