Greatest Common Factor of 880 and 884

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 880, 884 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 880 and 884 is 4.

GCF(880,884) = 4

GCF of 880 and 884

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

GCF of:
and

Greatest Common Factor of 880 and 884

GCF of 880 and 884 is 4

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

Prime Factorization of 884


2 884
2 442
13 221
17 17
1

Prime factors of 884 are 2,13,17. Prime factorization of 884 in exponential form is:

884 = 22×131×171

∴ So by taking common prime factors GCF of 880 and 884 is 4

Greatest Common Factor of 880 and 884 by matching factors method

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

Factors of 884

List of positive integer factors of 884 that divides 884 without a remainder.

1,2,4,13,17,26,34,52,68,221,442,884

Greatest Common Factor

We found the factors and prime factorization of 880 and 884. The biggest common factor number is the GCF number.
So the greatest common factor 880 and 884 is 4.

Also check out the Least Common Multiple of 880 and 884

Properties of GCF 880 and 884

(i) The GCF of 880 and 884 is associative

GCF of 880 and 884 = GCF of 884 and 880

Related Greatest Common Factor of 880

Related Greatest Common Factor of 884

Frequently Asked Questions on GCF of 880 and 884

1. What is the GCF of 880 and 884?

Answer: GCF of 880 and 884 is 4.

2. 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.

3. What are the Factors of 884?

Answer: Factors of 884 are 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884. There are 12 integers that are factors of 884. The greatest factor of 884 is 884.

4. How to Find the GCF of 880 and 884?

Answer:

Greatest Common Factor of 880 and 884 = 4

Step 1: Find the prime factorization of 880

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

Step 2: Find the prime factorization of 884

884 = 2 x 2 x 13 x 17

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 880 and 884 is 4