Greatest Common Factor of 5850 and 5855

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 5850, 5855 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5850 and 5855 is 5.

GCF(5850,5855) = 5

GCF of 5850 and 5855

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

GCF of:
and

Greatest Common Factor of 5850 and 5855

GCF of 5850 and 5855 is 5

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

Prime Factorization of 5855


5 5855
1171 1171
1

Prime factors of 5855 are 5,1171. Prime factorization of 5855 in exponential form is:

5855 = 51×11711

∴ So by taking common prime factors GCF of 5850 and 5855 is 5

Greatest Common Factor of 5850 and 5855 by matching factors method

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

Factors of 5855

List of positive integer factors of 5855 that divides 5855 without a remainder.

1,5,1171,5855

Greatest Common Factor

We found the factors and prime factorization of 5850 and 5855. The biggest common factor number is the GCF number.
So the greatest common factor 5850 and 5855 is 5.

Also check out the Least Common Multiple of 5850 and 5855

Properties of GCF 5850 and 5855

(i) The GCF of 5850 and 5855 is associative

GCF of 5850 and 5855 = GCF of 5855 and 5850

Related Greatest Common Factor of 5850

Related Greatest Common Factor of 5855

Frequently Asked Questions on GCF of 5850 and 5855

1. What is the GCF of 5850 and 5855?

Answer: GCF of 5850 and 5855 is 5.

2. 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.

3. What are the Factors of 5855?

Answer: Factors of 5855 are 1, 5, 1171, 5855. There are 4 integers that are factors of 5855. The greatest factor of 5855 is 5855.

4. How to Find the GCF of 5850 and 5855?

Answer:

Greatest Common Factor of 5850 and 5855 = 5

Step 1: Find the prime factorization of 5850

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

Step 2: Find the prime factorization of 5855

5855 = 5 x 1171

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

GCF = 5

Step 4: Therefore, the greatest common factor of 5850 and 5855 is 5