Greatest Common Factor of 1876 and 1884

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 1876, 1884 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1876 and 1884 is 4.

GCF(1876,1884) = 4

GCF of 1876 and 1884

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

GCF of:
and

Greatest Common Factor of 1876 and 1884

GCF of 1876 and 1884 is 4

Prime Factorization of 1876


2 1876
2 938
7 469
67 67
1

Prime factors of 1876 are 2,7,67. Prime factorization of 1876 in exponential form is:

1876 = 22×71×671

Prime Factorization of 1884


2 1884
2 942
3 471
157 157
1

Prime factors of 1884 are 2,3,157. Prime factorization of 1884 in exponential form is:

1884 = 22×31×1571

∴ So by taking common prime factors GCF of 1876 and 1884 is 4

Greatest Common Factor of 1876 and 1884 by matching factors method

Factors of 1876

List of positive integer factors of 1876 that divides 1876 without a remainder.

1,2,4,7,14,28,67,134,268,469,938,1876

Factors of 1884

List of positive integer factors of 1884 that divides 1884 without a remainder.

1,2,3,4,6,12,157,314,471,628,942,1884

Greatest Common Factor

We found the factors and prime factorization of 1876 and 1884. The biggest common factor number is the GCF number.
So the greatest common factor 1876 and 1884 is 4.

Also check out the Least Common Multiple of 1876 and 1884

Properties of GCF 1876 and 1884

(i) The GCF of 1876 and 1884 is associative

GCF of 1876 and 1884 = GCF of 1884 and 1876

Related Greatest Common Factor of 1876

Related Greatest Common Factor of 1884

Frequently Asked Questions on GCF of 1876 and 1884

1. What is the GCF of 1876 and 1884?

Answer: GCF of 1876 and 1884 is 4.

2. What are the Factors of 1876?

Answer: Factors of 1876 are 1, 2, 4, 7, 14, 28, 67, 134, 268, 469, 938, 1876. There are 12 integers that are factors of 1876. The greatest factor of 1876 is 1876.

3. What are the Factors of 1884?

Answer: Factors of 1884 are 1, 2, 3, 4, 6, 12, 157, 314, 471, 628, 942, 1884. There are 12 integers that are factors of 1884. The greatest factor of 1884 is 1884.

4. How to Find the GCF of 1876 and 1884?

Answer:

Greatest Common Factor of 1876 and 1884 = 4

Step 1: Find the prime factorization of 1876

1876 = 2 x 2 x 7 x 67

Step 2: Find the prime factorization of 1884

1884 = 2 x 2 x 3 x 157

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 1876 and 1884 is 4