Greatest Common Factor of 822 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 822, 830 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 822 and 830 is 2.

GCF(822,830) = 2

GCF of 822 and 830

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

GCF of:
and

Greatest Common Factor of 822 and 830

GCF of 822 and 830 is 2

Prime Factorization of 822


2 822
3 411
137 137
1

Prime factors of 822 are 2,3,137. Prime factorization of 822 in exponential form is:

822 = 21×31×1371

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 822 and 830 is 2

Greatest Common Factor of 822 and 830 by matching factors method

Factors of 822

List of positive integer factors of 822 that divides 822 without a remainder.

1,2,3,6,137,274,411,822

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 822 and 830. The biggest common factor number is the GCF number.
So the greatest common factor 822 and 830 is 2.

Also check out the Least Common Multiple of 822 and 830

Properties of GCF 822 and 830

(i) The GCF of 822 and 830 is associative

GCF of 822 and 830 = GCF of 830 and 822

Related Greatest Common Factor of 822

Related Greatest Common Factor of 830

Frequently Asked Questions on GCF of 822 and 830

1. What is the GCF of 822 and 830?

Answer: GCF of 822 and 830 is 2.

2. What are the Factors of 822?

Answer: Factors of 822 are 1, 2, 3, 6, 137, 274, 411, 822. There are 8 integers that are factors of 822. The greatest factor of 822 is 822.

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 822 and 830?

Answer:

Greatest Common Factor of 822 and 830 = 2

Step 1: Find the prime factorization of 822

822 = 2 x 3 x 137

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 822 and 830 is 2