Greatest Common Factor of 1848 and 1851

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, 1851 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1848 and 1851 is 3.

GCF(1848,1851) = 3

GCF of 1848 and 1851

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

GCF of:
and

Greatest Common Factor of 1848 and 1851

GCF of 1848 and 1851 is 3

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 1851


3 1851
617 617
1

Prime factors of 1851 are 3,617. Prime factorization of 1851 in exponential form is:

1851 = 31×6171

∴ So by taking common prime factors GCF of 1848 and 1851 is 3

Greatest Common Factor of 1848 and 1851 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 1851

List of positive integer factors of 1851 that divides 1851 without a remainder.

1,3,617,1851

Greatest Common Factor

We found the factors and prime factorization of 1848 and 1851. The biggest common factor number is the GCF number.
So the greatest common factor 1848 and 1851 is 3.

Also check out the Least Common Multiple of 1848 and 1851

Properties of GCF 1848 and 1851

(i) The GCF of 1848 and 1851 is associative

GCF of 1848 and 1851 = GCF of 1851 and 1848

Related Greatest Common Factor of 1848

Related Greatest Common Factor of 1851

Frequently Asked Questions on GCF of 1848 and 1851

1. What is the GCF of 1848 and 1851?

Answer: GCF of 1848 and 1851 is 3.

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 1851?

Answer: Factors of 1851 are 1, 3, 617, 1851. There are 4 integers that are factors of 1851. The greatest factor of 1851 is 1851.

4. How to Find the GCF of 1848 and 1851?

Answer:

Greatest Common Factor of 1848 and 1851 = 3

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 1851

1851 = 3 x 617

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

GCF = 3

Step 4: Therefore, the greatest common factor of 1848 and 1851 is 3