Greatest Common Factor of 3836 and 3840

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 3836, 3840 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3836 and 3840 is 4.

GCF(3836,3840) = 4

GCF of 3836 and 3840

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

GCF of:
and

Greatest Common Factor of 3836 and 3840

GCF of 3836 and 3840 is 4

Prime Factorization of 3836


2 3836
2 1918
7 959
137 137
1

Prime factors of 3836 are 2,7,137. Prime factorization of 3836 in exponential form is:

3836 = 22×71×1371

Prime Factorization of 3840


2 3840
2 1920
2 960
2 480
2 240
2 120
2 60
2 30
3 15
5 5
1

Prime factors of 3840 are 2,3,5. Prime factorization of 3840 in exponential form is:

3840 = 28×31×51

∴ So by taking common prime factors GCF of 3836 and 3840 is 4

Greatest Common Factor of 3836 and 3840 by matching factors method

Factors of 3836

List of positive integer factors of 3836 that divides 3836 without a remainder.

1,2,4,7,14,28,137,274,548,959,1918,3836

Factors of 3840

List of positive integer factors of 3840 that divides 3840 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,64,80,96,120,128,160,192,240,256,320,384,480,640,768,960,1280,1920,3840

Greatest Common Factor

We found the factors and prime factorization of 3836 and 3840. The biggest common factor number is the GCF number.
So the greatest common factor 3836 and 3840 is 4.

Also check out the Least Common Multiple of 3836 and 3840

Properties of GCF 3836 and 3840

(i) The GCF of 3836 and 3840 is associative

GCF of 3836 and 3840 = GCF of 3840 and 3836

Related Greatest Common Factor of 3836

Related Greatest Common Factor of 3840

Frequently Asked Questions on GCF of 3836 and 3840

1. What is the GCF of 3836 and 3840?

Answer: GCF of 3836 and 3840 is 4.

2. What are the Factors of 3836?

Answer: Factors of 3836 are 1, 2, 4, 7, 14, 28, 137, 274, 548, 959, 1918, 3836. There are 12 integers that are factors of 3836. The greatest factor of 3836 is 3836.

3. What are the Factors of 3840?

Answer: Factors of 3840 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 128, 160, 192, 240, 256, 320, 384, 480, 640, 768, 960, 1280, 1920, 3840. There are 36 integers that are factors of 3840. The greatest factor of 3840 is 3840.

4. How to Find the GCF of 3836 and 3840?

Answer:

Greatest Common Factor of 3836 and 3840 = 4

Step 1: Find the prime factorization of 3836

3836 = 2 x 2 x 7 x 137

Step 2: Find the prime factorization of 3840

3840 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 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 = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 3836 and 3840 is 4