Greatest Common Factor of 1840 and 1848

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 1840, 1848 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1840 and 1848 is 8.

GCF(1840,1848) = 8

GCF of 1840 and 1848

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

GCF of:
and

Greatest Common Factor of 1840 and 1848

GCF of 1840 and 1848 is 8

Prime Factorization of 1840


2 1840
2 920
2 460
2 230
5 115
23 23
1

Prime factors of 1840 are 2,5,23. Prime factorization of 1840 in exponential form is:

1840 = 24×51×231

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

∴ So by taking common prime factors GCF of 1840 and 1848 is 8

Greatest Common Factor of 1840 and 1848 by matching factors method

Factors of 1840

List of positive integer factors of 1840 that divides 1840 without a remainder.

1,2,4,5,8,10,16,20,23,40,46,80,92,115,184,230,368,460,920,1840

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

Greatest Common Factor

We found the factors and prime factorization of 1840 and 1848. The biggest common factor number is the GCF number.
So the greatest common factor 1840 and 1848 is 8.

Also check out the Least Common Multiple of 1840 and 1848

Properties of GCF 1840 and 1848

(i) The GCF of 1840 and 1848 is associative

GCF of 1840 and 1848 = GCF of 1848 and 1840

Related Greatest Common Factor of 1840

Related Greatest Common Factor of 1848

Frequently Asked Questions on GCF of 1840 and 1848

1. What is the GCF of 1840 and 1848?

Answer: GCF of 1840 and 1848 is 8.

2. What are the Factors of 1840?

Answer: Factors of 1840 are 1, 2, 4, 5, 8, 10, 16, 20, 23, 40, 46, 80, 92, 115, 184, 230, 368, 460, 920, 1840. There are 20 integers that are factors of 1840. The greatest factor of 1840 is 1840.

3. 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.

4. How to Find the GCF of 1840 and 1848?

Answer:

Greatest Common Factor of 1840 and 1848 = 8

Step 1: Find the prime factorization of 1840

1840 = 2 x 2 x 2 x 2 x 5 x 23

Step 2: Find the prime factorization of 1848

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

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

GCF = 2 x 2 x 2 = 8

Step 4: Therefore, the greatest common factor of 1840 and 1848 is 8