Greatest Common Factor of 1874 and 1875

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 1874, 1875 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1874 and 1875 is 1.

GCF(1874,1875) = 1

GCF of 1874 and 1875

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

GCF of:
and

Greatest Common Factor of 1874 and 1875

GCF of 1874 and 1875 is 1

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

Prime Factorization of 1875


3 1875
5 625
5 125
5 25
5 5
1

Prime factors of 1875 are 3,5. Prime factorization of 1875 in exponential form is:

1875 = 31×54

∴ So by taking common prime factors GCF of 1874 and 1875 is 1

Greatest Common Factor of 1874 and 1875 by matching factors method

Factors of 1874

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

1,2,937,1874

Factors of 1875

List of positive integer factors of 1875 that divides 1875 without a remainder.

1,3,5,15,25,75,125,375,625,1875

Greatest Common Factor

We found the factors and prime factorization of 1874 and 1875. The biggest common factor number is the GCF number.
So the greatest common factor 1874 and 1875 is 1.

Also check out the Least Common Multiple of 1874 and 1875

Properties of GCF 1874 and 1875

(i) The GCF of 1874 and 1875 is associative

GCF of 1874 and 1875 = GCF of 1875 and 1874

Related Greatest Common Factor of 1874

Related Greatest Common Factor of 1875

Frequently Asked Questions on GCF of 1874 and 1875

1. What is the GCF of 1874 and 1875?

Answer: GCF of 1874 and 1875 is 1.

2. 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.

3. What are the Factors of 1875?

Answer: Factors of 1875 are 1, 3, 5, 15, 25, 75, 125, 375, 625, 1875. There are 10 integers that are factors of 1875. The greatest factor of 1875 is 1875.

4. How to Find the GCF of 1874 and 1875?

Answer:

Greatest Common Factor of 1874 and 1875 = 1

Step 1: Find the prime factorization of 1874

1874 = 2 x 937

Step 2: Find the prime factorization of 1875

1875 = 3 x 5 x 5 x 5 x 5

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 1874 and 1875 is 1