Greatest Common Factor of 2875 and 2880

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 2875, 2880 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2875 and 2880 is 5.

GCF(2875,2880) = 5

GCF of 2875 and 2880

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

GCF of:
and

Greatest Common Factor of 2875 and 2880

GCF of 2875 and 2880 is 5

Prime Factorization of 2875


5 2875
5 575
5 115
23 23
1

Prime factors of 2875 are 5,23. Prime factorization of 2875 in exponential form is:

2875 = 53×231

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

∴ So by taking common prime factors GCF of 2875 and 2880 is 5

Greatest Common Factor of 2875 and 2880 by matching factors method

Factors of 2875

List of positive integer factors of 2875 that divides 2875 without a remainder.

1,5,23,25,115,125,575,2875

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

Greatest Common Factor

We found the factors and prime factorization of 2875 and 2880. The biggest common factor number is the GCF number.
So the greatest common factor 2875 and 2880 is 5.

Also check out the Least Common Multiple of 2875 and 2880

Properties of GCF 2875 and 2880

(i) The GCF of 2875 and 2880 is associative

GCF of 2875 and 2880 = GCF of 2880 and 2875

Related Greatest Common Factor of 2875

Related Greatest Common Factor of 2880

Frequently Asked Questions on GCF of 2875 and 2880

1. What is the GCF of 2875 and 2880?

Answer: GCF of 2875 and 2880 is 5.

2. What are the Factors of 2875?

Answer: Factors of 2875 are 1, 5, 23, 25, 115, 125, 575, 2875. There are 8 integers that are factors of 2875. The greatest factor of 2875 is 2875.

3. 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.

4. How to Find the GCF of 2875 and 2880?

Answer:

Greatest Common Factor of 2875 and 2880 = 5

Step 1: Find the prime factorization of 2875

2875 = 5 x 5 x 5 x 23

Step 2: 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 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 5

Step 4: Therefore, the greatest common factor of 2875 and 2880 is 5