Greatest Common Factor of 33838 and 33840

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 33838, 33840 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 33838 and 33840 is 2.

GCF(33838,33840) = 2

GCF of 33838 and 33840

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

GCF of:
and

Greatest Common Factor of 33838 and 33840

GCF of 33838 and 33840 is 2

Prime Factorization of 33838


2 33838
7 16919
2417 2417
1

Prime factors of 33838 are 2,7,2417. Prime factorization of 33838 in exponential form is:

33838 = 21×71×24171

Prime Factorization of 33840


2 33840
2 16920
2 8460
2 4230
3 2115
3 705
5 235
47 47
1

Prime factors of 33840 are 2,3,5,47. Prime factorization of 33840 in exponential form is:

33840 = 24×32×51×471

∴ So by taking common prime factors GCF of 33838 and 33840 is 2

Greatest Common Factor of 33838 and 33840 by matching factors method

Factors of 33838

List of positive integer factors of 33838 that divides 33838 without a remainder.

1,2,7,14,2417,4834,16919,33838

Factors of 33840

List of positive integer factors of 33840 that divides 33840 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,30,36,40,45,47,48,60,72,80,90,94,120,141,144,180,188,235,240,282,360,376,423,470,564,705,720,752,846,940,1128,1410,1692,1880,2115,2256,2820,3384,3760,4230,5640,6768,8460,11280,16920,33840

Greatest Common Factor

We found the factors and prime factorization of 33838 and 33840. The biggest common factor number is the GCF number.
So the greatest common factor 33838 and 33840 is 2.

Also check out the Least Common Multiple of 33838 and 33840

Properties of GCF 33838 and 33840

(i) The GCF of 33838 and 33840 is associative

GCF of 33838 and 33840 = GCF of 33840 and 33838

Related Greatest Common Factor of 33838

Related Greatest Common Factor of 33840

Frequently Asked Questions on GCF of 33838 and 33840

1. What is the GCF of 33838 and 33840?

Answer: GCF of 33838 and 33840 is 2.

2. What are the Factors of 33838?

Answer: Factors of 33838 are 1, 2, 7, 14, 2417, 4834, 16919, 33838. There are 8 integers that are factors of 33838. The greatest factor of 33838 is 33838.

3. What are the Factors of 33840?

Answer: Factors of 33840 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 47, 48, 60, 72, 80, 90, 94, 120, 141, 144, 180, 188, 235, 240, 282, 360, 376, 423, 470, 564, 705, 720, 752, 846, 940, 1128, 1410, 1692, 1880, 2115, 2256, 2820, 3384, 3760, 4230, 5640, 6768, 8460, 11280, 16920, 33840. There are 60 integers that are factors of 33840. The greatest factor of 33840 is 33840.

4. How to Find the GCF of 33838 and 33840?

Answer:

Greatest Common Factor of 33838 and 33840 = 2

Step 1: Find the prime factorization of 33838

33838 = 2 x 7 x 2417

Step 2: Find the prime factorization of 33840

33840 = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 47

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

GCF = 2

Step 4: Therefore, the greatest common factor of 33838 and 33840 is 2