Greatest Common Factor of 1869 and 1876

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 1869, 1876 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1869 and 1876 is 7.

GCF(1869,1876) = 7

GCF of 1869 and 1876

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

GCF of:
and

Greatest Common Factor of 1869 and 1876

GCF of 1869 and 1876 is 7

Prime Factorization of 1869


3 1869
7 623
89 89
1

Prime factors of 1869 are 3,7,89. Prime factorization of 1869 in exponential form is:

1869 = 31×71×891

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

∴ So by taking common prime factors GCF of 1869 and 1876 is 7

Greatest Common Factor of 1869 and 1876 by matching factors method

Factors of 1869

List of positive integer factors of 1869 that divides 1869 without a remainder.

1,3,7,21,89,267,623,1869

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

Greatest Common Factor

We found the factors and prime factorization of 1869 and 1876. The biggest common factor number is the GCF number.
So the greatest common factor 1869 and 1876 is 7.

Also check out the Least Common Multiple of 1869 and 1876

Properties of GCF 1869 and 1876

(i) The GCF of 1869 and 1876 is associative

GCF of 1869 and 1876 = GCF of 1876 and 1869

Related Greatest Common Factor of 1869

Related Greatest Common Factor of 1876

Frequently Asked Questions on GCF of 1869 and 1876

1. What is the GCF of 1869 and 1876?

Answer: GCF of 1869 and 1876 is 7.

2. What are the Factors of 1869?

Answer: Factors of 1869 are 1, 3, 7, 21, 89, 267, 623, 1869. There are 8 integers that are factors of 1869. The greatest factor of 1869 is 1869.

3. 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.

4. How to Find the GCF of 1869 and 1876?

Answer:

Greatest Common Factor of 1869 and 1876 = 7

Step 1: Find the prime factorization of 1869

1869 = 3 x 7 x 89

Step 2: Find the prime factorization of 1876

1876 = 2 x 2 x 7 x 67

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

GCF = 7

Step 4: Therefore, the greatest common factor of 1869 and 1876 is 7