Greatest Common Factor of 829 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 829, 830 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 829 and 830 is 1.

GCF(829,830) = 1

GCF of 829 and 830

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

GCF of:
and

Greatest Common Factor of 829 and 830

GCF of 829 and 830 is 1

Prime Factorization of 829


829 829
1

Prime factors of 829 are 829. Prime factorization of 829 in exponential form is:

829 = 8291

Prime Factorization of 830


2 830
5 415
83 83
1

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

830 = 21×51×831

∴ So by taking common prime factors GCF of 829 and 830 is 1

Greatest Common Factor of 829 and 830 by matching factors method

Factors of 829

List of positive integer factors of 829 that divides 829 without a remainder.

1,829

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 829 and 830. The biggest common factor number is the GCF number.
So the greatest common factor 829 and 830 is 1.

Also check out the Least Common Multiple of 829 and 830

Properties of GCF 829 and 830

(i) The GCF of 829 and 830 is associative

GCF of 829 and 830 = GCF of 830 and 829

Related Greatest Common Factor of 829

Related Greatest Common Factor of 830

Frequently Asked Questions on GCF of 829 and 830

1. What is the GCF of 829 and 830?

Answer: GCF of 829 and 830 is 1.

2. What are the Factors of 829?

Answer: Factors of 829 are 1, 829. There are 2 integers that are factors of 829. The greatest factor of 829 is 829.

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 829 and 830?

Answer:

Greatest Common Factor of 829 and 830 = 1

Step 1: Find the prime factorization of 829

829 = 829

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 = = 1

Step 4: Therefore, the greatest common factor of 829 and 830 is 1