Greatest Common Factor of 2040 and 2048

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 2040, 2048 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2040 and 2048 is 8.

GCF(2040,2048) = 8

GCF of 2040 and 2048

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

GCF of:
and

Greatest Common Factor of 2040 and 2048

GCF of 2040 and 2048 is 8

Prime Factorization of 2040


2 2040
2 1020
2 510
3 255
5 85
17 17
1

Prime factors of 2040 are 2,3,5,17. Prime factorization of 2040 in exponential form is:

2040 = 23×31×51×171

Prime Factorization of 2048


2 2048
2 1024
2 512
2 256
2 128
2 64
2 32
2 16
2 8
2 4
2 2
1

Prime factors of 2048 are 2. Prime factorization of 2048 in exponential form is:

2048 = 211

∴ So by taking common prime factors GCF of 2040 and 2048 is 8

Greatest Common Factor of 2040 and 2048 by matching factors method

Factors of 2040

List of positive integer factors of 2040 that divides 2040 without a remainder.

1,2,3,4,5,6,8,10,12,15,17,20,24,30,34,40,51,60,68,85,102,120,136,170,204,255,340,408,510,680,1020,2040

Factors of 2048

List of positive integer factors of 2048 that divides 2048 without a remainder.

1,2,4,8,16,32,64,128,256,512,1024,2048

Greatest Common Factor

We found the factors and prime factorization of 2040 and 2048. The biggest common factor number is the GCF number.
So the greatest common factor 2040 and 2048 is 8.

Also check out the Least Common Multiple of 2040 and 2048

Properties of GCF 2040 and 2048

(i) The GCF of 2040 and 2048 is associative

GCF of 2040 and 2048 = GCF of 2048 and 2040

Related Greatest Common Factor of 2040

Related Greatest Common Factor of 2048

Frequently Asked Questions on GCF of 2040 and 2048

1. What is the GCF of 2040 and 2048?

Answer: GCF of 2040 and 2048 is 8.

2. What are the Factors of 2040?

Answer: Factors of 2040 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 17, 20, 24, 30, 34, 40, 51, 60, 68, 85, 102, 120, 136, 170, 204, 255, 340, 408, 510, 680, 1020, 2040. There are 32 integers that are factors of 2040. The greatest factor of 2040 is 2040.

3. What are the Factors of 2048?

Answer: Factors of 2048 are 1, 2, 4, 8, 16, 32, 64, 128, 256, 512, 1024, 2048. There are 12 integers that are factors of 2048. The greatest factor of 2048 is 2048.

4. How to Find the GCF of 2040 and 2048?

Answer:

Greatest Common Factor of 2040 and 2048 = 8

Step 1: Find the prime factorization of 2040

2040 = 2 x 2 x 2 x 3 x 5 x 17

Step 2: Find the prime factorization of 2048

2048 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

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 2040 and 2048 is 8