Greatest Common Factor of 872 and 880

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, 880 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 872 and 880 is 8.

GCF(872,880) = 8

GCF of 872 and 880

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

GCF of:
and

Greatest Common Factor of 872 and 880

GCF of 872 and 880 is 8

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 880


2 880
2 440
2 220
2 110
5 55
11 11
1

Prime factors of 880 are 2,5,11. Prime factorization of 880 in exponential form is:

880 = 24×51×111

∴ So by taking common prime factors GCF of 872 and 880 is 8

Greatest Common Factor of 872 and 880 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 880

List of positive integer factors of 880 that divides 880 without a remainder.

1,2,4,5,8,10,11,16,20,22,40,44,55,80,88,110,176,220,440,880

Greatest Common Factor

We found the factors and prime factorization of 872 and 880. The biggest common factor number is the GCF number.
So the greatest common factor 872 and 880 is 8.

Also check out the Least Common Multiple of 872 and 880

Properties of GCF 872 and 880

(i) The GCF of 872 and 880 is associative

GCF of 872 and 880 = GCF of 880 and 872

Related Greatest Common Factor of 872

Related Greatest Common Factor of 880

Frequently Asked Questions on GCF of 872 and 880

1. What is the GCF of 872 and 880?

Answer: GCF of 872 and 880 is 8.

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 880?

Answer: Factors of 880 are 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880. There are 20 integers that are factors of 880. The greatest factor of 880 is 880.

4. How to Find the GCF of 872 and 880?

Answer:

Greatest Common Factor of 872 and 880 = 8

Step 1: Find the prime factorization of 872

872 = 2 x 2 x 2 x 109

Step 2: Find the prime factorization of 880

880 = 2 x 2 x 2 x 2 x 5 x 11

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

GCF = 2 x 2 x 2 = 8

Step 4: Therefore, the greatest common factor of 872 and 880 is 8