Greatest Common Factor of 1870 and 1874

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 1870, 1874 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1870 and 1874 is 2.

GCF(1870,1874) = 2

GCF of 1870 and 1874

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

GCF of:
and

Greatest Common Factor of 1870 and 1874

GCF of 1870 and 1874 is 2

Prime Factorization of 1870


2 1870
5 935
11 187
17 17
1

Prime factors of 1870 are 2,5,11,17. Prime factorization of 1870 in exponential form is:

1870 = 21×51×111×171

Prime Factorization of 1874


2 1874
937 937
1

Prime factors of 1874 are 2,937. Prime factorization of 1874 in exponential form is:

1874 = 21×9371

∴ So by taking common prime factors GCF of 1870 and 1874 is 2

Greatest Common Factor of 1870 and 1874 by matching factors method

Factors of 1870

List of positive integer factors of 1870 that divides 1870 without a remainder.

1,2,5,10,11,17,22,34,55,85,110,170,187,374,935,1870

Factors of 1874

List of positive integer factors of 1874 that divides 1874 without a remainder.

1,2,937,1874

Greatest Common Factor

We found the factors and prime factorization of 1870 and 1874. The biggest common factor number is the GCF number.
So the greatest common factor 1870 and 1874 is 2.

Also check out the Least Common Multiple of 1870 and 1874

Properties of GCF 1870 and 1874

(i) The GCF of 1870 and 1874 is associative

GCF of 1870 and 1874 = GCF of 1874 and 1870

Related Greatest Common Factor of 1870

Related Greatest Common Factor of 1874

Frequently Asked Questions on GCF of 1870 and 1874

1. What is the GCF of 1870 and 1874?

Answer: GCF of 1870 and 1874 is 2.

2. What are the Factors of 1870?

Answer: Factors of 1870 are 1, 2, 5, 10, 11, 17, 22, 34, 55, 85, 110, 170, 187, 374, 935, 1870. There are 16 integers that are factors of 1870. The greatest factor of 1870 is 1870.

3. What are the Factors of 1874?

Answer: Factors of 1874 are 1, 2, 937, 1874. There are 4 integers that are factors of 1874. The greatest factor of 1874 is 1874.

4. How to Find the GCF of 1870 and 1874?

Answer:

Greatest Common Factor of 1870 and 1874 = 2

Step 1: Find the prime factorization of 1870

1870 = 2 x 5 x 11 x 17

Step 2: Find the prime factorization of 1874

1874 = 2 x 937

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 1870 and 1874 is 2