Greatest Common Factor of 5842 and 5850

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 5842, 5850 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5842 and 5850 is 2.

GCF(5842,5850) = 2

GCF of 5842 and 5850

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

GCF of:
and

Greatest Common Factor of 5842 and 5850

GCF of 5842 and 5850 is 2

Prime Factorization of 5842


2 5842
23 2921
127 127
1

Prime factors of 5842 are 2,23,127. Prime factorization of 5842 in exponential form is:

5842 = 21×231×1271

Prime Factorization of 5850


2 5850
3 2925
3 975
5 325
5 65
13 13
1

Prime factors of 5850 are 2,3,5,13. Prime factorization of 5850 in exponential form is:

5850 = 21×32×52×131

∴ So by taking common prime factors GCF of 5842 and 5850 is 2

Greatest Common Factor of 5842 and 5850 by matching factors method

Factors of 5842

List of positive integer factors of 5842 that divides 5842 without a remainder.

1,2,23,46,127,254,2921,5842

Factors of 5850

List of positive integer factors of 5850 that divides 5850 without a remainder.

1,2,3,5,6,9,10,13,15,18,25,26,30,39,45,50,65,75,78,90,117,130,150,195,225,234,325,390,450,585,650,975,1170,1950,2925,5850

Greatest Common Factor

We found the factors and prime factorization of 5842 and 5850. The biggest common factor number is the GCF number.
So the greatest common factor 5842 and 5850 is 2.

Also check out the Least Common Multiple of 5842 and 5850

Properties of GCF 5842 and 5850

(i) The GCF of 5842 and 5850 is associative

GCF of 5842 and 5850 = GCF of 5850 and 5842

Related Greatest Common Factor of 5842

Related Greatest Common Factor of 5850

Frequently Asked Questions on GCF of 5842 and 5850

1. What is the GCF of 5842 and 5850?

Answer: GCF of 5842 and 5850 is 2.

2. What are the Factors of 5842?

Answer: Factors of 5842 are 1, 2, 23, 46, 127, 254, 2921, 5842. There are 8 integers that are factors of 5842. The greatest factor of 5842 is 5842.

3. What are the Factors of 5850?

Answer: Factors of 5850 are 1, 2, 3, 5, 6, 9, 10, 13, 15, 18, 25, 26, 30, 39, 45, 50, 65, 75, 78, 90, 117, 130, 150, 195, 225, 234, 325, 390, 450, 585, 650, 975, 1170, 1950, 2925, 5850. There are 36 integers that are factors of 5850. The greatest factor of 5850 is 5850.

4. How to Find the GCF of 5842 and 5850?

Answer:

Greatest Common Factor of 5842 and 5850 = 2

Step 1: Find the prime factorization of 5842

5842 = 2 x 23 x 127

Step 2: Find the prime factorization of 5850

5850 = 2 x 3 x 3 x 5 x 5 x 13

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 5842 and 5850 is 2