Greatest Common Factor of 5872 and 5879

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, 5879 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5872 and 5879 is 1.

GCF(5872,5879) = 1

GCF of 5872 and 5879

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

GCF of:
and

Greatest Common Factor of 5872 and 5879

GCF of 5872 and 5879 is 1

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 5879


5879 5879
1

Prime factors of 5879 are 5879. Prime factorization of 5879 in exponential form is:

5879 = 58791

∴ So by taking common prime factors GCF of 5872 and 5879 is 1

Greatest Common Factor of 5872 and 5879 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 5879

List of positive integer factors of 5879 that divides 5879 without a remainder.

1,5879

Greatest Common Factor

We found the factors and prime factorization of 5872 and 5879. The biggest common factor number is the GCF number.
So the greatest common factor 5872 and 5879 is 1.

Also check out the Least Common Multiple of 5872 and 5879

Properties of GCF 5872 and 5879

(i) The GCF of 5872 and 5879 is associative

GCF of 5872 and 5879 = GCF of 5879 and 5872

Related Greatest Common Factor of 5872

Related Greatest Common Factor of 5879

Frequently Asked Questions on GCF of 5872 and 5879

1. What is the GCF of 5872 and 5879?

Answer: GCF of 5872 and 5879 is 1.

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 5879?

Answer: Factors of 5879 are 1, 5879. There are 2 integers that are factors of 5879. The greatest factor of 5879 is 5879.

4. How to Find the GCF of 5872 and 5879?

Answer:

Greatest Common Factor of 5872 and 5879 = 1

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 5879

5879 = 5879

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 5872 and 5879 is 1