Greatest Common Factor of 1869 and 1872

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, 1872 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1869 and 1872 is 3.

GCF(1869,1872) = 3

GCF of 1869 and 1872

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

GCF of:
and

Greatest Common Factor of 1869 and 1872

GCF of 1869 and 1872 is 3

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 1872


2 1872
2 936
2 468
2 234
3 117
3 39
13 13
1

Prime factors of 1872 are 2,3,13. Prime factorization of 1872 in exponential form is:

1872 = 24×32×131

∴ So by taking common prime factors GCF of 1869 and 1872 is 3

Greatest Common Factor of 1869 and 1872 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 1872

List of positive integer factors of 1872 that divides 1872 without a remainder.

1,2,3,4,6,8,9,12,13,16,18,24,26,36,39,48,52,72,78,104,117,144,156,208,234,312,468,624,936,1872

Greatest Common Factor

We found the factors and prime factorization of 1869 and 1872. The biggest common factor number is the GCF number.
So the greatest common factor 1869 and 1872 is 3.

Also check out the Least Common Multiple of 1869 and 1872

Properties of GCF 1869 and 1872

(i) The GCF of 1869 and 1872 is associative

GCF of 1869 and 1872 = GCF of 1872 and 1869

Related Greatest Common Factor of 1869

Related Greatest Common Factor of 1872

Frequently Asked Questions on GCF of 1869 and 1872

1. What is the GCF of 1869 and 1872?

Answer: GCF of 1869 and 1872 is 3.

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 1872?

Answer: Factors of 1872 are 1, 2, 3, 4, 6, 8, 9, 12, 13, 16, 18, 24, 26, 36, 39, 48, 52, 72, 78, 104, 117, 144, 156, 208, 234, 312, 468, 624, 936, 1872. There are 30 integers that are factors of 1872. The greatest factor of 1872 is 1872.

4. How to Find the GCF of 1869 and 1872?

Answer:

Greatest Common Factor of 1869 and 1872 = 3

Step 1: Find the prime factorization of 1869

1869 = 3 x 7 x 89

Step 2: Find the prime factorization of 1872

1872 = 2 x 2 x 2 x 2 x 3 x 3 x 13

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

GCF = 3

Step 4: Therefore, the greatest common factor of 1869 and 1872 is 3