Greatest Common Factor of 1856 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 1856, 1860 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1856 and 1860 is 4.

GCF(1856,1860) = 4

GCF of 1856 and 1860

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

GCF of:
and

Greatest Common Factor of 1856 and 1860

GCF of 1856 and 1860 is 4

Prime Factorization of 1856


2 1856
2 928
2 464
2 232
2 116
2 58
29 29
1

Prime factors of 1856 are 2,29. Prime factorization of 1856 in exponential form is:

1856 = 26×291

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 1856 and 1860 is 4

Greatest Common Factor of 1856 and 1860 by matching factors method

Factors of 1856

List of positive integer factors of 1856 that divides 1856 without a remainder.

1,2,4,8,16,29,32,58,64,116,232,464,928,1856

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 1856 and 1860. The biggest common factor number is the GCF number.
So the greatest common factor 1856 and 1860 is 4.

Also check out the Least Common Multiple of 1856 and 1860

Properties of GCF 1856 and 1860

(i) The GCF of 1856 and 1860 is associative

GCF of 1856 and 1860 = GCF of 1860 and 1856

Related Greatest Common Factor of 1856

Related Greatest Common Factor of 1860

Frequently Asked Questions on GCF of 1856 and 1860

1. What is the GCF of 1856 and 1860?

Answer: GCF of 1856 and 1860 is 4.

2. What are the Factors of 1856?

Answer: Factors of 1856 are 1, 2, 4, 8, 16, 29, 32, 58, 64, 116, 232, 464, 928, 1856. There are 14 integers that are factors of 1856. The greatest factor of 1856 is 1856.

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 1856 and 1860?

Answer:

Greatest Common Factor of 1856 and 1860 = 4

Step 1: Find the prime factorization of 1856

1856 = 2 x 2 x 2 x 2 x 2 x 2 x 29

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 = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 1856 and 1860 is 4