Greatest Common Factor of 33837 and 33838

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 33837, 33838 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 33837 and 33838 is 1.

GCF(33837,33838) = 1

GCF of 33837 and 33838

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

GCF of:
and

Greatest Common Factor of 33837 and 33838

GCF of 33837 and 33838 is 1

Prime Factorization of 33837


3 33837
11279 11279
1

Prime factors of 33837 are 3,11279. Prime factorization of 33837 in exponential form is:

33837 = 31×112791

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

∴ So by taking common prime factors GCF of 33837 and 33838 is 1

Greatest Common Factor of 33837 and 33838 by matching factors method

Factors of 33837

List of positive integer factors of 33837 that divides 33837 without a remainder.

1,3,11279,33837

Factors of 33838

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

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

Greatest Common Factor

We found the factors and prime factorization of 33837 and 33838. The biggest common factor number is the GCF number.
So the greatest common factor 33837 and 33838 is 1.

Also check out the Least Common Multiple of 33837 and 33838

Properties of GCF 33837 and 33838

(i) The GCF of 33837 and 33838 is associative

GCF of 33837 and 33838 = GCF of 33838 and 33837

Frequently Asked Questions on GCF of 33837 and 33838

1. What is the GCF of 33837 and 33838?

Answer: GCF of 33837 and 33838 is 1.

2. What are the Factors of 33837?

Answer: Factors of 33837 are 1, 3, 11279, 33837. There are 4 integers that are factors of 33837. The greatest factor of 33837 is 33837.

3. 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.

4. How to Find the GCF of 33837 and 33838?

Answer:

Greatest Common Factor of 33837 and 33838 = 1

Step 1: Find the prime factorization of 33837

33837 = 3 x 11279

Step 2: Find the prime factorization of 33838

33838 = 2 x 7 x 2417

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 33837 and 33838 is 1