Greatest Common Factor of 1846 and 1852

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 1846, 1852 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1846 and 1852 is 2.

GCF(1846,1852) = 2

GCF of 1846 and 1852

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

GCF of:
and

Greatest Common Factor of 1846 and 1852

GCF of 1846 and 1852 is 2

Prime Factorization of 1846


2 1846
13 923
71 71
1

Prime factors of 1846 are 2,13,71. Prime factorization of 1846 in exponential form is:

1846 = 21×131×711

Prime Factorization of 1852


2 1852
2 926
463 463
1

Prime factors of 1852 are 2,463. Prime factorization of 1852 in exponential form is:

1852 = 22×4631

∴ So by taking common prime factors GCF of 1846 and 1852 is 2

Greatest Common Factor of 1846 and 1852 by matching factors method

Factors of 1846

List of positive integer factors of 1846 that divides 1846 without a remainder.

1,2,13,26,71,142,923,1846

Factors of 1852

List of positive integer factors of 1852 that divides 1852 without a remainder.

1,2,4,463,926,1852

Greatest Common Factor

We found the factors and prime factorization of 1846 and 1852. The biggest common factor number is the GCF number.
So the greatest common factor 1846 and 1852 is 2.

Also check out the Least Common Multiple of 1846 and 1852

Properties of GCF 1846 and 1852

(i) The GCF of 1846 and 1852 is associative

GCF of 1846 and 1852 = GCF of 1852 and 1846

Related Greatest Common Factor of 1846

Related Greatest Common Factor of 1852

Frequently Asked Questions on GCF of 1846 and 1852

1. What is the GCF of 1846 and 1852?

Answer: GCF of 1846 and 1852 is 2.

2. What are the Factors of 1846?

Answer: Factors of 1846 are 1, 2, 13, 26, 71, 142, 923, 1846. There are 8 integers that are factors of 1846. The greatest factor of 1846 is 1846.

3. What are the Factors of 1852?

Answer: Factors of 1852 are 1, 2, 4, 463, 926, 1852. There are 6 integers that are factors of 1852. The greatest factor of 1852 is 1852.

4. How to Find the GCF of 1846 and 1852?

Answer:

Greatest Common Factor of 1846 and 1852 = 2

Step 1: Find the prime factorization of 1846

1846 = 2 x 13 x 71

Step 2: Find the prime factorization of 1852

1852 = 2 x 2 x 463

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

GCF = 2

Step 4: Therefore, the greatest common factor of 1846 and 1852 is 2