Greatest Common Factor of 1857 and 1860

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 1857, 1860 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1857 and 1860 is 3.

GCF(1857,1860) = 3

GCF of 1857 and 1860

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

GCF of:
and

Greatest Common Factor of 1857 and 1860

GCF of 1857 and 1860 is 3

Prime Factorization of 1857


3 1857
619 619
1

Prime factors of 1857 are 3,619. Prime factorization of 1857 in exponential form is:

1857 = 31×6191

Prime Factorization of 1860


2 1860
2 930
3 465
5 155
31 31
1

Prime factors of 1860 are 2,3,5,31. Prime factorization of 1860 in exponential form is:

1860 = 22×31×51×311

∴ So by taking common prime factors GCF of 1857 and 1860 is 3

Greatest Common Factor of 1857 and 1860 by matching factors method

Factors of 1857

List of positive integer factors of 1857 that divides 1857 without a remainder.

1,3,619,1857

Factors of 1860

List of positive integer factors of 1860 that divides 1860 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,31,60,62,93,124,155,186,310,372,465,620,930,1860

Greatest Common Factor

We found the factors and prime factorization of 1857 and 1860. The biggest common factor number is the GCF number.
So the greatest common factor 1857 and 1860 is 3.

Also check out the Least Common Multiple of 1857 and 1860

Properties of GCF 1857 and 1860

(i) The GCF of 1857 and 1860 is associative

GCF of 1857 and 1860 = GCF of 1860 and 1857

Related Greatest Common Factor of 1857

Related Greatest Common Factor of 1860

Frequently Asked Questions on GCF of 1857 and 1860

1. What is the GCF of 1857 and 1860?

Answer: GCF of 1857 and 1860 is 3.

2. What are the Factors of 1857?

Answer: Factors of 1857 are 1, 3, 619, 1857. There are 4 integers that are factors of 1857. The greatest factor of 1857 is 1857.

3. What are the Factors of 1860?

Answer: Factors of 1860 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 31, 60, 62, 93, 124, 155, 186, 310, 372, 465, 620, 930, 1860. There are 24 integers that are factors of 1860. The greatest factor of 1860 is 1860.

4. How to Find the GCF of 1857 and 1860?

Answer:

Greatest Common Factor of 1857 and 1860 = 3

Step 1: Find the prime factorization of 1857

1857 = 3 x 619

Step 2: Find the prime factorization of 1860

1860 = 2 x 2 x 3 x 5 x 31

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 1857 and 1860 is 3