Greatest Common Factor of 8290 and 8293

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 8290, 8293 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8290 and 8293 is 1.

GCF(8290,8293) = 1

GCF of 8290 and 8293

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

GCF of:
and

Greatest Common Factor of 8290 and 8293

GCF of 8290 and 8293 is 1

Prime Factorization of 8290


2 8290
5 4145
829 829
1

Prime factors of 8290 are 2,5,829. Prime factorization of 8290 in exponential form is:

8290 = 21×51×8291

Prime Factorization of 8293


8293 8293
1

Prime factors of 8293 are 8293. Prime factorization of 8293 in exponential form is:

8293 = 82931

∴ So by taking common prime factors GCF of 8290 and 8293 is 1

Greatest Common Factor of 8290 and 8293 by matching factors method

Factors of 8290

List of positive integer factors of 8290 that divides 8290 without a remainder.

1,2,5,10,829,1658,4145,8290

Factors of 8293

List of positive integer factors of 8293 that divides 8293 without a remainder.

1,8293

Greatest Common Factor

We found the factors and prime factorization of 8290 and 8293. The biggest common factor number is the GCF number.
So the greatest common factor 8290 and 8293 is 1.

Also check out the Least Common Multiple of 8290 and 8293

Properties of GCF 8290 and 8293

(i) The GCF of 8290 and 8293 is associative

GCF of 8290 and 8293 = GCF of 8293 and 8290

Related Greatest Common Factor of 8290

Related Greatest Common Factor of 8293

Frequently Asked Questions on GCF of 8290 and 8293

1. What is the GCF of 8290 and 8293?

Answer: GCF of 8290 and 8293 is 1.

2. What are the Factors of 8290?

Answer: Factors of 8290 are 1, 2, 5, 10, 829, 1658, 4145, 8290. There are 8 integers that are factors of 8290. The greatest factor of 8290 is 8290.

3. What are the Factors of 8293?

Answer: Factors of 8293 are 1, 8293. There are 2 integers that are factors of 8293. The greatest factor of 8293 is 8293.

4. How to Find the GCF of 8290 and 8293?

Answer:

Greatest Common Factor of 8290 and 8293 = 1

Step 1: Find the prime factorization of 8290

8290 = 2 x 5 x 829

Step 2: Find the prime factorization of 8293

8293 = 8293

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 8290 and 8293 is 1