Greatest Common Factor of 872 and 879

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 872, 879 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 872 and 879 is 1.

GCF(872,879) = 1

GCF of 872 and 879

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

GCF of:
and

Greatest Common Factor of 872 and 879

GCF of 872 and 879 is 1

Prime Factorization of 872


2 872
2 436
2 218
109 109
1

Prime factors of 872 are 2,109. Prime factorization of 872 in exponential form is:

872 = 23×1091

Prime Factorization of 879


3 879
293 293
1

Prime factors of 879 are 3,293. Prime factorization of 879 in exponential form is:

879 = 31×2931

∴ So by taking common prime factors GCF of 872 and 879 is 1

Greatest Common Factor of 872 and 879 by matching factors method

Factors of 872

List of positive integer factors of 872 that divides 872 without a remainder.

1,2,4,8,109,218,436,872

Factors of 879

List of positive integer factors of 879 that divides 879 without a remainder.

1,3,293,879

Greatest Common Factor

We found the factors and prime factorization of 872 and 879. The biggest common factor number is the GCF number.
So the greatest common factor 872 and 879 is 1.

Also check out the Least Common Multiple of 872 and 879

Properties of GCF 872 and 879

(i) The GCF of 872 and 879 is associative

GCF of 872 and 879 = GCF of 879 and 872

Related Greatest Common Factor of 872

Related Greatest Common Factor of 879

Frequently Asked Questions on GCF of 872 and 879

1. What is the GCF of 872 and 879?

Answer: GCF of 872 and 879 is 1.

2. What are the Factors of 872?

Answer: Factors of 872 are 1, 2, 4, 8, 109, 218, 436, 872. There are 8 integers that are factors of 872. The greatest factor of 872 is 872.

3. What are the Factors of 879?

Answer: Factors of 879 are 1, 3, 293, 879. There are 4 integers that are factors of 879. The greatest factor of 879 is 879.

4. How to Find the GCF of 872 and 879?

Answer:

Greatest Common Factor of 872 and 879 = 1

Step 1: Find the prime factorization of 872

872 = 2 x 2 x 2 x 109

Step 2: Find the prime factorization of 879

879 = 3 x 293

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 872 and 879 is 1