Greatest Common Factor of 1848 and 1855

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 1848, 1855 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1848 and 1855 is 7.

GCF(1848,1855) = 7

GCF of 1848 and 1855

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

GCF of:
and

Greatest Common Factor of 1848 and 1855

GCF of 1848 and 1855 is 7

Prime Factorization of 1848


2 1848
2 924
2 462
3 231
7 77
11 11
1

Prime factors of 1848 are 2,3,7,11. Prime factorization of 1848 in exponential form is:

1848 = 23×31×71×111

Prime Factorization of 1855


5 1855
7 371
53 53
1

Prime factors of 1855 are 5,7,53. Prime factorization of 1855 in exponential form is:

1855 = 51×71×531

∴ So by taking common prime factors GCF of 1848 and 1855 is 7

Greatest Common Factor of 1848 and 1855 by matching factors method

Factors of 1848

List of positive integer factors of 1848 that divides 1848 without a remainder.

1,2,3,4,6,7,8,11,12,14,21,22,24,28,33,42,44,56,66,77,84,88,132,154,168,231,264,308,462,616,924,1848

Factors of 1855

List of positive integer factors of 1855 that divides 1855 without a remainder.

1,5,7,35,53,265,371,1855

Greatest Common Factor

We found the factors and prime factorization of 1848 and 1855. The biggest common factor number is the GCF number.
So the greatest common factor 1848 and 1855 is 7.

Also check out the Least Common Multiple of 1848 and 1855

Properties of GCF 1848 and 1855

(i) The GCF of 1848 and 1855 is associative

GCF of 1848 and 1855 = GCF of 1855 and 1848

Related Greatest Common Factor of 1848

Related Greatest Common Factor of 1855

Frequently Asked Questions on GCF of 1848 and 1855

1. What is the GCF of 1848 and 1855?

Answer: GCF of 1848 and 1855 is 7.

2. What are the Factors of 1848?

Answer: Factors of 1848 are 1, 2, 3, 4, 6, 7, 8, 11, 12, 14, 21, 22, 24, 28, 33, 42, 44, 56, 66, 77, 84, 88, 132, 154, 168, 231, 264, 308, 462, 616, 924, 1848. There are 32 integers that are factors of 1848. The greatest factor of 1848 is 1848.

3. What are the Factors of 1855?

Answer: Factors of 1855 are 1, 5, 7, 35, 53, 265, 371, 1855. There are 8 integers that are factors of 1855. The greatest factor of 1855 is 1855.

4. How to Find the GCF of 1848 and 1855?

Answer:

Greatest Common Factor of 1848 and 1855 = 7

Step 1: Find the prime factorization of 1848

1848 = 2 x 2 x 2 x 3 x 7 x 11

Step 2: Find the prime factorization of 1855

1855 = 5 x 7 x 53

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

GCF = 7

Step 4: Therefore, the greatest common factor of 1848 and 1855 is 7