Greatest Common Factor of 2842 and 2850

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 2842, 2850 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2842 and 2850 is 2.

GCF(2842,2850) = 2

GCF of 2842 and 2850

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

GCF of:
and

Greatest Common Factor of 2842 and 2850

GCF of 2842 and 2850 is 2

Prime Factorization of 2842


2 2842
7 1421
7 203
29 29
1

Prime factors of 2842 are 2,7,29. Prime factorization of 2842 in exponential form is:

2842 = 21×72×291

Prime Factorization of 2850


2 2850
3 1425
5 475
5 95
19 19
1

Prime factors of 2850 are 2,3,5,19. Prime factorization of 2850 in exponential form is:

2850 = 21×31×52×191

∴ So by taking common prime factors GCF of 2842 and 2850 is 2

Greatest Common Factor of 2842 and 2850 by matching factors method

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

Factors of 2850

List of positive integer factors of 2850 that divides 2850 without a remainder.

1,2,3,5,6,10,15,19,25,30,38,50,57,75,95,114,150,190,285,475,570,950,1425,2850

Greatest Common Factor

We found the factors and prime factorization of 2842 and 2850. The biggest common factor number is the GCF number.
So the greatest common factor 2842 and 2850 is 2.

Also check out the Least Common Multiple of 2842 and 2850

Properties of GCF 2842 and 2850

(i) The GCF of 2842 and 2850 is associative

GCF of 2842 and 2850 = GCF of 2850 and 2842

Related Greatest Common Factor of 2842

Related Greatest Common Factor of 2850

Frequently Asked Questions on GCF of 2842 and 2850

1. What is the GCF of 2842 and 2850?

Answer: GCF of 2842 and 2850 is 2.

2. 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.

3. What are the Factors of 2850?

Answer: Factors of 2850 are 1, 2, 3, 5, 6, 10, 15, 19, 25, 30, 38, 50, 57, 75, 95, 114, 150, 190, 285, 475, 570, 950, 1425, 2850. There are 24 integers that are factors of 2850. The greatest factor of 2850 is 2850.

4. How to Find the GCF of 2842 and 2850?

Answer:

Greatest Common Factor of 2842 and 2850 = 2

Step 1: Find the prime factorization of 2842

2842 = 2 x 7 x 7 x 29

Step 2: Find the prime factorization of 2850

2850 = 2 x 3 x 5 x 5 x 19

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 2842 and 2850 is 2