Greatest Common Factor of 828 and 830

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

Greatest common factor (GCF) of 828 and 830 is 2.

GCF(828,830) = 2

GCF of 828 and 830

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

GCF of:
and

Greatest Common Factor of 828 and 830

GCF of 828 and 830 is 2

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 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

∴ So by taking common prime factors GCF of 828 and 830 is 2

Greatest Common Factor of 828 and 830 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 830

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

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

Greatest Common Factor

We found the factors and prime factorization of 828 and 830. The biggest common factor number is the GCF number.
So the greatest common factor 828 and 830 is 2.

Also check out the Least Common Multiple of 828 and 830

Properties of GCF 828 and 830

(i) The GCF of 828 and 830 is associative

GCF of 828 and 830 = GCF of 830 and 828

Related Greatest Common Factor of 828

Related Greatest Common Factor of 830

Frequently Asked Questions on GCF of 828 and 830

1. What is the GCF of 828 and 830?

Answer: GCF of 828 and 830 is 2.

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 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.

4. How to Find the GCF of 828 and 830?

Answer:

Greatest Common Factor of 828 and 830 = 2

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 830

830 = 2 x 5 x 83

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 828 and 830 is 2