Greatest Common Factor of 5855 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 5855, 5856 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5855 and 5856 is 1.

GCF(5855,5856) = 1

GCF of 5855 and 5856

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

GCF of:
and

Greatest Common Factor of 5855 and 5856

GCF of 5855 and 5856 is 1

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

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 5855 and 5856 is 1

Greatest Common Factor of 5855 and 5856 by matching factors method

Factors of 5855

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

1,5,1171,5855

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 5855 and 5856. The biggest common factor number is the GCF number.
So the greatest common factor 5855 and 5856 is 1.

Also check out the Least Common Multiple of 5855 and 5856

Properties of GCF 5855 and 5856

(i) The GCF of 5855 and 5856 is associative

GCF of 5855 and 5856 = GCF of 5856 and 5855

Related Greatest Common Factor of 5855

Related Greatest Common Factor of 5856

Frequently Asked Questions on GCF of 5855 and 5856

1. What is the GCF of 5855 and 5856?

Answer: GCF of 5855 and 5856 is 1.

2. 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.

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 5855 and 5856?

Answer:

Greatest Common Factor of 5855 and 5856 = 1

Step 1: Find the prime factorization of 5855

5855 = 5 x 1171

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 = = 1

Step 4: Therefore, the greatest common factor of 5855 and 5856 is 1