Greatest Common Factor of 8430 and 8434

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, 8434 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8430 and 8434 is 2.

GCF(8430,8434) = 2

GCF of 8430 and 8434

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

GCF of:
and

Greatest Common Factor of 8430 and 8434

GCF of 8430 and 8434 is 2

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 8434


2 8434
4217 4217
1

Prime factors of 8434 are 2,4217. Prime factorization of 8434 in exponential form is:

8434 = 21×42171

∴ So by taking common prime factors GCF of 8430 and 8434 is 2

Greatest Common Factor of 8430 and 8434 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 8434

List of positive integer factors of 8434 that divides 8434 without a remainder.

1,2,4217,8434

Greatest Common Factor

We found the factors and prime factorization of 8430 and 8434. The biggest common factor number is the GCF number.
So the greatest common factor 8430 and 8434 is 2.

Also check out the Least Common Multiple of 8430 and 8434

Properties of GCF 8430 and 8434

(i) The GCF of 8430 and 8434 is associative

GCF of 8430 and 8434 = GCF of 8434 and 8430

Related Greatest Common Factor of 8430

Related Greatest Common Factor of 8434

Frequently Asked Questions on GCF of 8430 and 8434

1. What is the GCF of 8430 and 8434?

Answer: GCF of 8430 and 8434 is 2.

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 8434?

Answer: Factors of 8434 are 1, 2, 4217, 8434. There are 4 integers that are factors of 8434. The greatest factor of 8434 is 8434.

4. How to Find the GCF of 8430 and 8434?

Answer:

Greatest Common Factor of 8430 and 8434 = 2

Step 1: Find the prime factorization of 8430

8430 = 2 x 3 x 5 x 281

Step 2: Find the prime factorization of 8434

8434 = 2 x 4217

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 8430 and 8434 is 2