Greatest Common Factor of 1854 and 1862

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 1854, 1862 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1854 and 1862 is 2.

GCF(1854,1862) = 2

GCF of 1854 and 1862

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

GCF of:
and

Greatest Common Factor of 1854 and 1862

GCF of 1854 and 1862 is 2

Prime Factorization of 1854


2 1854
3 927
3 309
103 103
1

Prime factors of 1854 are 2,3,103. Prime factorization of 1854 in exponential form is:

1854 = 21×32×1031

Prime Factorization of 1862


2 1862
7 931
7 133
19 19
1

Prime factors of 1862 are 2,7,19. Prime factorization of 1862 in exponential form is:

1862 = 21×72×191

∴ So by taking common prime factors GCF of 1854 and 1862 is 2

Greatest Common Factor of 1854 and 1862 by matching factors method

Factors of 1854

List of positive integer factors of 1854 that divides 1854 without a remainder.

1,2,3,6,9,18,103,206,309,618,927,1854

Factors of 1862

List of positive integer factors of 1862 that divides 1862 without a remainder.

1,2,7,14,19,38,49,98,133,266,931,1862

Greatest Common Factor

We found the factors and prime factorization of 1854 and 1862. The biggest common factor number is the GCF number.
So the greatest common factor 1854 and 1862 is 2.

Also check out the Least Common Multiple of 1854 and 1862

Properties of GCF 1854 and 1862

(i) The GCF of 1854 and 1862 is associative

GCF of 1854 and 1862 = GCF of 1862 and 1854

Related Greatest Common Factor of 1854

Related Greatest Common Factor of 1862

Frequently Asked Questions on GCF of 1854 and 1862

1. What is the GCF of 1854 and 1862?

Answer: GCF of 1854 and 1862 is 2.

2. What are the Factors of 1854?

Answer: Factors of 1854 are 1, 2, 3, 6, 9, 18, 103, 206, 309, 618, 927, 1854. There are 12 integers that are factors of 1854. The greatest factor of 1854 is 1854.

3. What are the Factors of 1862?

Answer: Factors of 1862 are 1, 2, 7, 14, 19, 38, 49, 98, 133, 266, 931, 1862. There are 12 integers that are factors of 1862. The greatest factor of 1862 is 1862.

4. How to Find the GCF of 1854 and 1862?

Answer:

Greatest Common Factor of 1854 and 1862 = 2

Step 1: Find the prime factorization of 1854

1854 = 2 x 3 x 3 x 103

Step 2: Find the prime factorization of 1862

1862 = 2 x 7 x 7 x 19

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 1854 and 1862 is 2