Greatest Common Factor of 84340 and 84344

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 84340, 84344 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 84340 and 84344 is 4.

GCF(84340,84344) = 4

GCF of 84340 and 84344

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

GCF of:
and

Greatest Common Factor of 84340 and 84344

GCF of 84340 and 84344 is 4

Prime Factorization of 84340


2 84340
2 42170
5 21085
4217 4217
1

Prime factors of 84340 are 2,5,4217. Prime factorization of 84340 in exponential form is:

84340 = 22×51×42171

Prime Factorization of 84344


2 84344
2 42172
2 21086
13 10543
811 811
1

Prime factors of 84344 are 2,13,811. Prime factorization of 84344 in exponential form is:

84344 = 23×131×8111

∴ So by taking common prime factors GCF of 84340 and 84344 is 4

Greatest Common Factor of 84340 and 84344 by matching factors method

Factors of 84340

List of positive integer factors of 84340 that divides 84340 without a remainder.

1,2,4,5,10,20,4217,8434,16868,21085,42170,84340

Factors of 84344

List of positive integer factors of 84344 that divides 84344 without a remainder.

1,2,4,8,13,26,52,104,811,1622,3244,6488,10543,21086,42172,84344

Greatest Common Factor

We found the factors and prime factorization of 84340 and 84344. The biggest common factor number is the GCF number.
So the greatest common factor 84340 and 84344 is 4.

Also check out the Least Common Multiple of 84340 and 84344

Properties of GCF 84340 and 84344

(i) The GCF of 84340 and 84344 is associative

GCF of 84340 and 84344 = GCF of 84344 and 84340

Related Greatest Common Factor of 84340

Related Greatest Common Factor of 84344

Frequently Asked Questions on GCF of 84340 and 84344

1. What is the GCF of 84340 and 84344?

Answer: GCF of 84340 and 84344 is 4.

2. What are the Factors of 84340?

Answer: Factors of 84340 are 1, 2, 4, 5, 10, 20, 4217, 8434, 16868, 21085, 42170, 84340. There are 12 integers that are factors of 84340. The greatest factor of 84340 is 84340.

3. What are the Factors of 84344?

Answer: Factors of 84344 are 1, 2, 4, 8, 13, 26, 52, 104, 811, 1622, 3244, 6488, 10543, 21086, 42172, 84344. There are 16 integers that are factors of 84344. The greatest factor of 84344 is 84344.

4. How to Find the GCF of 84340 and 84344?

Answer:

Greatest Common Factor of 84340 and 84344 = 4

Step 1: Find the prime factorization of 84340

84340 = 2 x 2 x 5 x 4217

Step 2: Find the prime factorization of 84344

84344 = 2 x 2 x 2 x 13 x 811

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 84340 and 84344 is 4