Greatest Common Factor of 8434 and 8440

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 8434, 8440 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8434 and 8440 is 2.

GCF(8434,8440) = 2

GCF of 8434 and 8440

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

GCF of:
and

Greatest Common Factor of 8434 and 8440

GCF of 8434 and 8440 is 2

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

Prime Factorization of 8440


2 8440
2 4220
2 2110
5 1055
211 211
1

Prime factors of 8440 are 2,5,211. Prime factorization of 8440 in exponential form is:

8440 = 23×51×2111

∴ So by taking common prime factors GCF of 8434 and 8440 is 2

Greatest Common Factor of 8434 and 8440 by matching factors method

Factors of 8434

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

1,2,4217,8434

Factors of 8440

List of positive integer factors of 8440 that divides 8440 without a remainder.

1,2,4,5,8,10,20,40,211,422,844,1055,1688,2110,4220,8440

Greatest Common Factor

We found the factors and prime factorization of 8434 and 8440. The biggest common factor number is the GCF number.
So the greatest common factor 8434 and 8440 is 2.

Also check out the Least Common Multiple of 8434 and 8440

Properties of GCF 8434 and 8440

(i) The GCF of 8434 and 8440 is associative

GCF of 8434 and 8440 = GCF of 8440 and 8434

Related Greatest Common Factor of 8434

Related Greatest Common Factor of 8440

Frequently Asked Questions on GCF of 8434 and 8440

1. What is the GCF of 8434 and 8440?

Answer: GCF of 8434 and 8440 is 2.

2. 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.

3. What are the Factors of 8440?

Answer: Factors of 8440 are 1, 2, 4, 5, 8, 10, 20, 40, 211, 422, 844, 1055, 1688, 2110, 4220, 8440. There are 16 integers that are factors of 8440. The greatest factor of 8440 is 8440.

4. How to Find the GCF of 8434 and 8440?

Answer:

Greatest Common Factor of 8434 and 8440 = 2

Step 1: Find the prime factorization of 8434

8434 = 2 x 4217

Step 2: Find the prime factorization of 8440

8440 = 2 x 2 x 2 x 5 x 211

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 8434 and 8440 is 2