Greatest Common Factor of 1870 and 1877

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, 1877 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1870 and 1877 is 1.

GCF(1870,1877) = 1

GCF of 1870 and 1877

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

GCF of:
and

Greatest Common Factor of 1870 and 1877

GCF of 1870 and 1877 is 1

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 1877


1877 1877
1

Prime factors of 1877 are 1877. Prime factorization of 1877 in exponential form is:

1877 = 18771

∴ So by taking common prime factors GCF of 1870 and 1877 is 1

Greatest Common Factor of 1870 and 1877 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 1877

List of positive integer factors of 1877 that divides 1877 without a remainder.

1,1877

Greatest Common Factor

We found the factors and prime factorization of 1870 and 1877. The biggest common factor number is the GCF number.
So the greatest common factor 1870 and 1877 is 1.

Also check out the Least Common Multiple of 1870 and 1877

Properties of GCF 1870 and 1877

(i) The GCF of 1870 and 1877 is associative

GCF of 1870 and 1877 = GCF of 1877 and 1870

Related Greatest Common Factor of 1870

Related Greatest Common Factor of 1877

Frequently Asked Questions on GCF of 1870 and 1877

1. What is the GCF of 1870 and 1877?

Answer: GCF of 1870 and 1877 is 1.

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 1877?

Answer: Factors of 1877 are 1, 1877. There are 2 integers that are factors of 1877. The greatest factor of 1877 is 1877.

4. How to Find the GCF of 1870 and 1877?

Answer:

Greatest Common Factor of 1870 and 1877 = 1

Step 1: Find the prime factorization of 1870

1870 = 2 x 5 x 11 x 17

Step 2: Find the prime factorization of 1877

1877 = 1877

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 1870 and 1877 is 1