Greatest Common Factor of 8430 and 8433

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 8430, 8433 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8430 and 8433 is 3.

GCF(8430,8433) = 3

GCF of 8430 and 8433

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

GCF of:
and

Greatest Common Factor of 8430 and 8433

GCF of 8430 and 8433 is 3

Prime Factorization of 8430


2 8430
3 4215
5 1405
281 281
1

Prime factors of 8430 are 2,3,5,281. Prime factorization of 8430 in exponential form is:

8430 = 21×31×51×2811

Prime Factorization of 8433


3 8433
3 2811
937 937
1

Prime factors of 8433 are 3,937. Prime factorization of 8433 in exponential form is:

8433 = 32×9371

∴ So by taking common prime factors GCF of 8430 and 8433 is 3

Greatest Common Factor of 8430 and 8433 by matching factors method

Factors of 8430

List of positive integer factors of 8430 that divides 8430 without a remainder.

1,2,3,5,6,10,15,30,281,562,843,1405,1686,2810,4215,8430

Factors of 8433

List of positive integer factors of 8433 that divides 8433 without a remainder.

1,3,9,937,2811,8433

Greatest Common Factor

We found the factors and prime factorization of 8430 and 8433. The biggest common factor number is the GCF number.
So the greatest common factor 8430 and 8433 is 3.

Also check out the Least Common Multiple of 8430 and 8433

Properties of GCF 8430 and 8433

(i) The GCF of 8430 and 8433 is associative

GCF of 8430 and 8433 = GCF of 8433 and 8430

Related Greatest Common Factor of 8430

Related Greatest Common Factor of 8433

Frequently Asked Questions on GCF of 8430 and 8433

1. What is the GCF of 8430 and 8433?

Answer: GCF of 8430 and 8433 is 3.

2. What are the Factors of 8430?

Answer: Factors of 8430 are 1, 2, 3, 5, 6, 10, 15, 30, 281, 562, 843, 1405, 1686, 2810, 4215, 8430. There are 16 integers that are factors of 8430. The greatest factor of 8430 is 8430.

3. What are the Factors of 8433?

Answer: Factors of 8433 are 1, 3, 9, 937, 2811, 8433. There are 6 integers that are factors of 8433. The greatest factor of 8433 is 8433.

4. How to Find the GCF of 8430 and 8433?

Answer:

Greatest Common Factor of 8430 and 8433 = 3

Step 1: Find the prime factorization of 8430

8430 = 2 x 3 x 5 x 281

Step 2: Find the prime factorization of 8433

8433 = 3 x 3 x 937

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 3

Step 4: Therefore, the greatest common factor of 8430 and 8433 is 3