Greatest Common Factor of 5872 and 5876

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 5872, 5876 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5872 and 5876 is 4.

GCF(5872,5876) = 4

GCF of 5872 and 5876

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

GCF of:
and

Greatest Common Factor of 5872 and 5876

GCF of 5872 and 5876 is 4

Prime Factorization of 5872


2 5872
2 2936
2 1468
2 734
367 367
1

Prime factors of 5872 are 2,367. Prime factorization of 5872 in exponential form is:

5872 = 24×3671

Prime Factorization of 5876


2 5876
2 2938
13 1469
113 113
1

Prime factors of 5876 are 2,13,113. Prime factorization of 5876 in exponential form is:

5876 = 22×131×1131

∴ So by taking common prime factors GCF of 5872 and 5876 is 4

Greatest Common Factor of 5872 and 5876 by matching factors method

Factors of 5872

List of positive integer factors of 5872 that divides 5872 without a remainder.

1,2,4,8,16,367,734,1468,2936,5872

Factors of 5876

List of positive integer factors of 5876 that divides 5876 without a remainder.

1,2,4,13,26,52,113,226,452,1469,2938,5876

Greatest Common Factor

We found the factors and prime factorization of 5872 and 5876. The biggest common factor number is the GCF number.
So the greatest common factor 5872 and 5876 is 4.

Also check out the Least Common Multiple of 5872 and 5876

Properties of GCF 5872 and 5876

(i) The GCF of 5872 and 5876 is associative

GCF of 5872 and 5876 = GCF of 5876 and 5872

Related Greatest Common Factor of 5872

Related Greatest Common Factor of 5876

Frequently Asked Questions on GCF of 5872 and 5876

1. What is the GCF of 5872 and 5876?

Answer: GCF of 5872 and 5876 is 4.

2. What are the Factors of 5872?

Answer: Factors of 5872 are 1, 2, 4, 8, 16, 367, 734, 1468, 2936, 5872. There are 10 integers that are factors of 5872. The greatest factor of 5872 is 5872.

3. What are the Factors of 5876?

Answer: Factors of 5876 are 1, 2, 4, 13, 26, 52, 113, 226, 452, 1469, 2938, 5876. There are 12 integers that are factors of 5876. The greatest factor of 5876 is 5876.

4. How to Find the GCF of 5872 and 5876?

Answer:

Greatest Common Factor of 5872 and 5876 = 4

Step 1: Find the prime factorization of 5872

5872 = 2 x 2 x 2 x 2 x 367

Step 2: Find the prime factorization of 5876

5876 = 2 x 2 x 13 x 113

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 5872 and 5876 is 4