Greatest Common Factor of 836 and 838

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 836, 838 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 836 and 838 is 2.

GCF(836,838) = 2

GCF of 836 and 838

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

GCF of:
and

Greatest Common Factor of 836 and 838

GCF of 836 and 838 is 2

Prime Factorization of 836


2 836
2 418
11 209
19 19
1

Prime factors of 836 are 2,11,19. Prime factorization of 836 in exponential form is:

836 = 22×111×191

Prime Factorization of 838


2 838
419 419
1

Prime factors of 838 are 2,419. Prime factorization of 838 in exponential form is:

838 = 21×4191

∴ So by taking common prime factors GCF of 836 and 838 is 2

Greatest Common Factor of 836 and 838 by matching factors method

Factors of 836

List of positive integer factors of 836 that divides 836 without a remainder.

1,2,4,11,19,22,38,44,76,209,418,836

Factors of 838

List of positive integer factors of 838 that divides 838 without a remainder.

1,2,419,838

Greatest Common Factor

We found the factors and prime factorization of 836 and 838. The biggest common factor number is the GCF number.
So the greatest common factor 836 and 838 is 2.

Also check out the Least Common Multiple of 836 and 838

Properties of GCF 836 and 838

(i) The GCF of 836 and 838 is associative

GCF of 836 and 838 = GCF of 838 and 836

Related Greatest Common Factor of 836

Related Greatest Common Factor of 838

Frequently Asked Questions on GCF of 836 and 838

1. What is the GCF of 836 and 838?

Answer: GCF of 836 and 838 is 2.

2. What are the Factors of 836?

Answer: Factors of 836 are 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836. There are 12 integers that are factors of 836. The greatest factor of 836 is 836.

3. What are the Factors of 838?

Answer: Factors of 838 are 1, 2, 419, 838. There are 4 integers that are factors of 838. The greatest factor of 838 is 838.

4. How to Find the GCF of 836 and 838?

Answer:

Greatest Common Factor of 836 and 838 = 2

Step 1: Find the prime factorization of 836

836 = 2 x 2 x 11 x 19

Step 2: Find the prime factorization of 838

838 = 2 x 419

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 836 and 838 is 2