Greatest Common Factor of 7833 and 7838

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 7833, 7838 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7833 and 7838 is 1.

GCF(7833,7838) = 1

GCF of 7833 and 7838

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

GCF of:
and

Greatest Common Factor of 7833 and 7838

GCF of 7833 and 7838 is 1

Prime Factorization of 7833


3 7833
7 2611
373 373
1

Prime factors of 7833 are 3,7,373. Prime factorization of 7833 in exponential form is:

7833 = 31×71×3731

Prime Factorization of 7838


2 7838
3919 3919
1

Prime factors of 7838 are 2,3919. Prime factorization of 7838 in exponential form is:

7838 = 21×39191

∴ So by taking common prime factors GCF of 7833 and 7838 is 1

Greatest Common Factor of 7833 and 7838 by matching factors method

Factors of 7833

List of positive integer factors of 7833 that divides 7833 without a remainder.

1,3,7,21,373,1119,2611,7833

Factors of 7838

List of positive integer factors of 7838 that divides 7838 without a remainder.

1,2,3919,7838

Greatest Common Factor

We found the factors and prime factorization of 7833 and 7838. The biggest common factor number is the GCF number.
So the greatest common factor 7833 and 7838 is 1.

Also check out the Least Common Multiple of 7833 and 7838

Properties of GCF 7833 and 7838

(i) The GCF of 7833 and 7838 is associative

GCF of 7833 and 7838 = GCF of 7838 and 7833

Related Greatest Common Factor of 7833

Related Greatest Common Factor of 7838

Frequently Asked Questions on GCF of 7833 and 7838

1. What is the GCF of 7833 and 7838?

Answer: GCF of 7833 and 7838 is 1.

2. What are the Factors of 7833?

Answer: Factors of 7833 are 1, 3, 7, 21, 373, 1119, 2611, 7833. There are 8 integers that are factors of 7833. The greatest factor of 7833 is 7833.

3. What are the Factors of 7838?

Answer: Factors of 7838 are 1, 2, 3919, 7838. There are 4 integers that are factors of 7838. The greatest factor of 7838 is 7838.

4. How to Find the GCF of 7833 and 7838?

Answer:

Greatest Common Factor of 7833 and 7838 = 1

Step 1: Find the prime factorization of 7833

7833 = 3 x 7 x 373

Step 2: Find the prime factorization of 7838

7838 = 2 x 3919

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 7833 and 7838 is 1