Greatest Common Factor of 1872 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 1872, 1876 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1872 and 1876 is 4.

GCF(1872,1876) = 4

GCF of 1872 and 1876

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

GCF of:
and

Greatest Common Factor of 1872 and 1876

GCF of 1872 and 1876 is 4

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

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 1872 and 1876 is 4

Greatest Common Factor of 1872 and 1876 by matching factors method

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

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 1872 and 1876. The biggest common factor number is the GCF number.
So the greatest common factor 1872 and 1876 is 4.

Also check out the Least Common Multiple of 1872 and 1876

Properties of GCF 1872 and 1876

(i) The GCF of 1872 and 1876 is associative

GCF of 1872 and 1876 = GCF of 1876 and 1872

Related Greatest Common Factor of 1872

Related Greatest Common Factor of 1876

Frequently Asked Questions on GCF of 1872 and 1876

1. What is the GCF of 1872 and 1876?

Answer: GCF of 1872 and 1876 is 4.

2. 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.

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 1872 and 1876?

Answer:

Greatest Common Factor of 1872 and 1876 = 4

Step 1: Find the prime factorization of 1872

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

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 = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 1872 and 1876 is 4