Greatest Common Factor of 5850 and 5856

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, 5856 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5850 and 5856 is 6.

GCF(5850,5856) = 6

GCF of 5850 and 5856

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

GCF of:
and

Greatest Common Factor of 5850 and 5856

GCF of 5850 and 5856 is 6

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 5856


2 5856
2 2928
2 1464
2 732
2 366
3 183
61 61
1

Prime factors of 5856 are 2,3,61. Prime factorization of 5856 in exponential form is:

5856 = 25×31×611

∴ So by taking common prime factors GCF of 5850 and 5856 is 6

Greatest Common Factor of 5850 and 5856 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 5856

List of positive integer factors of 5856 that divides 5856 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,61,96,122,183,244,366,488,732,976,1464,1952,2928,5856

Greatest Common Factor

We found the factors and prime factorization of 5850 and 5856. The biggest common factor number is the GCF number.
So the greatest common factor 5850 and 5856 is 6.

Also check out the Least Common Multiple of 5850 and 5856

Properties of GCF 5850 and 5856

(i) The GCF of 5850 and 5856 is associative

GCF of 5850 and 5856 = GCF of 5856 and 5850

Related Greatest Common Factor of 5850

Related Greatest Common Factor of 5856

Frequently Asked Questions on GCF of 5850 and 5856

1. What is the GCF of 5850 and 5856?

Answer: GCF of 5850 and 5856 is 6.

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 5856?

Answer: Factors of 5856 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 61, 96, 122, 183, 244, 366, 488, 732, 976, 1464, 1952, 2928, 5856. There are 24 integers that are factors of 5856. The greatest factor of 5856 is 5856.

4. How to Find the GCF of 5850 and 5856?

Answer:

Greatest Common Factor of 5850 and 5856 = 6

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 5856

5856 = 2 x 2 x 2 x 2 x 2 x 3 x 61

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

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 5850 and 5856 is 6