Greatest Common Factor of 2880 and 2884

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 2880, 2884 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2880 and 2884 is 4.

GCF(2880,2884) = 4

GCF of 2880 and 2884

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

GCF of:
and

Greatest Common Factor of 2880 and 2884

GCF of 2880 and 2884 is 4

Prime Factorization of 2880


2 2880
2 1440
2 720
2 360
2 180
2 90
3 45
3 15
5 5
1

Prime factors of 2880 are 2,3,5. Prime factorization of 2880 in exponential form is:

2880 = 26×32×51

Prime Factorization of 2884


2 2884
2 1442
7 721
103 103
1

Prime factors of 2884 are 2,7,103. Prime factorization of 2884 in exponential form is:

2884 = 22×71×1031

∴ So by taking common prime factors GCF of 2880 and 2884 is 4

Greatest Common Factor of 2880 and 2884 by matching factors method

Factors of 2880

List of positive integer factors of 2880 that divides 2880 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,30,32,36,40,45,48,60,64,72,80,90,96,120,144,160,180,192,240,288,320,360,480,576,720,960,1440,2880

Factors of 2884

List of positive integer factors of 2884 that divides 2884 without a remainder.

1,2,4,7,14,28,103,206,412,721,1442,2884

Greatest Common Factor

We found the factors and prime factorization of 2880 and 2884. The biggest common factor number is the GCF number.
So the greatest common factor 2880 and 2884 is 4.

Also check out the Least Common Multiple of 2880 and 2884

Properties of GCF 2880 and 2884

(i) The GCF of 2880 and 2884 is associative

GCF of 2880 and 2884 = GCF of 2884 and 2880

Related Greatest Common Factor of 2880

Related Greatest Common Factor of 2884

Frequently Asked Questions on GCF of 2880 and 2884

1. What is the GCF of 2880 and 2884?

Answer: GCF of 2880 and 2884 is 4.

2. What are the Factors of 2880?

Answer: Factors of 2880 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 32, 36, 40, 45, 48, 60, 64, 72, 80, 90, 96, 120, 144, 160, 180, 192, 240, 288, 320, 360, 480, 576, 720, 960, 1440, 2880. There are 42 integers that are factors of 2880. The greatest factor of 2880 is 2880.

3. What are the Factors of 2884?

Answer: Factors of 2884 are 1, 2, 4, 7, 14, 28, 103, 206, 412, 721, 1442, 2884. There are 12 integers that are factors of 2884. The greatest factor of 2884 is 2884.

4. How to Find the GCF of 2880 and 2884?

Answer:

Greatest Common Factor of 2880 and 2884 = 4

Step 1: Find the prime factorization of 2880

2880 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5

Step 2: Find the prime factorization of 2884

2884 = 2 x 2 x 7 x 103

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 2880 and 2884 is 4