Greatest Common Factor of 830 and 836

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 830, 836 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 830 and 836 is 2.

GCF(830,836) = 2

GCF of 830 and 836

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

GCF of:
and

Greatest Common Factor of 830 and 836

GCF of 830 and 836 is 2

Prime Factorization of 830


2 830
5 415
83 83
1

Prime factors of 830 are 2,5,83. Prime factorization of 830 in exponential form is:

830 = 21×51×831

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

∴ So by taking common prime factors GCF of 830 and 836 is 2

Greatest Common Factor of 830 and 836 by matching factors method

Factors of 830

List of positive integer factors of 830 that divides 830 without a remainder.

1,2,5,10,83,166,415,830

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

Greatest Common Factor

We found the factors and prime factorization of 830 and 836. The biggest common factor number is the GCF number.
So the greatest common factor 830 and 836 is 2.

Also check out the Least Common Multiple of 830 and 836

Properties of GCF 830 and 836

(i) The GCF of 830 and 836 is associative

GCF of 830 and 836 = GCF of 836 and 830

Related Greatest Common Factor of 830

Related Greatest Common Factor of 836

Frequently Asked Questions on GCF of 830 and 836

1. What is the GCF of 830 and 836?

Answer: GCF of 830 and 836 is 2.

2. What are the Factors of 830?

Answer: Factors of 830 are 1, 2, 5, 10, 83, 166, 415, 830. There are 8 integers that are factors of 830. The greatest factor of 830 is 830.

3. 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.

4. How to Find the GCF of 830 and 836?

Answer:

Greatest Common Factor of 830 and 836 = 2

Step 1: Find the prime factorization of 830

830 = 2 x 5 x 83

Step 2: Find the prime factorization of 836

836 = 2 x 2 x 11 x 19

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 830 and 836 is 2