Greatest Common Factor of 828 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 828, 836 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 828 and 836 is 4.

GCF(828,836) = 4

GCF of 828 and 836

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

GCF of:
and

Greatest Common Factor of 828 and 836

GCF of 828 and 836 is 4

Prime Factorization of 828


2 828
2 414
3 207
3 69
23 23
1

Prime factors of 828 are 2,3,23. Prime factorization of 828 in exponential form is:

828 = 22×32×231

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 828 and 836 is 4

Greatest Common Factor of 828 and 836 by matching factors method

Factors of 828

List of positive integer factors of 828 that divides 828 without a remainder.

1,2,3,4,6,9,12,18,23,36,46,69,92,138,207,276,414,828

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 828 and 836. The biggest common factor number is the GCF number.
So the greatest common factor 828 and 836 is 4.

Also check out the Least Common Multiple of 828 and 836

Properties of GCF 828 and 836

(i) The GCF of 828 and 836 is associative

GCF of 828 and 836 = GCF of 836 and 828

Related Greatest Common Factor of 828

Related Greatest Common Factor of 836

Frequently Asked Questions on GCF of 828 and 836

1. What is the GCF of 828 and 836?

Answer: GCF of 828 and 836 is 4.

2. What are the Factors of 828?

Answer: Factors of 828 are 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828. There are 18 integers that are factors of 828. The greatest factor of 828 is 828.

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 828 and 836?

Answer:

Greatest Common Factor of 828 and 836 = 4

Step 1: Find the prime factorization of 828

828 = 2 x 2 x 3 x 3 x 23

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 x 2 = 4

Step 4: Therefore, the greatest common factor of 828 and 836 is 4