Greatest Common Factor of 8290 and 8292

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, 8292 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8290 and 8292 is 2.

GCF(8290,8292) = 2

GCF of 8290 and 8292

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

GCF of:
and

Greatest Common Factor of 8290 and 8292

GCF of 8290 and 8292 is 2

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 8292


2 8292
2 4146
3 2073
691 691
1

Prime factors of 8292 are 2,3,691. Prime factorization of 8292 in exponential form is:

8292 = 22×31×6911

∴ So by taking common prime factors GCF of 8290 and 8292 is 2

Greatest Common Factor of 8290 and 8292 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 8292

List of positive integer factors of 8292 that divides 8292 without a remainder.

1,2,3,4,6,12,691,1382,2073,2764,4146,8292

Greatest Common Factor

We found the factors and prime factorization of 8290 and 8292. The biggest common factor number is the GCF number.
So the greatest common factor 8290 and 8292 is 2.

Also check out the Least Common Multiple of 8290 and 8292

Properties of GCF 8290 and 8292

(i) The GCF of 8290 and 8292 is associative

GCF of 8290 and 8292 = GCF of 8292 and 8290

Related Greatest Common Factor of 8290

Related Greatest Common Factor of 8292

Frequently Asked Questions on GCF of 8290 and 8292

1. What is the GCF of 8290 and 8292?

Answer: GCF of 8290 and 8292 is 2.

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 8292?

Answer: Factors of 8292 are 1, 2, 3, 4, 6, 12, 691, 1382, 2073, 2764, 4146, 8292. There are 12 integers that are factors of 8292. The greatest factor of 8292 is 8292.

4. How to Find the GCF of 8290 and 8292?

Answer:

Greatest Common Factor of 8290 and 8292 = 2

Step 1: Find the prime factorization of 8290

8290 = 2 x 5 x 829

Step 2: Find the prime factorization of 8292

8292 = 2 x 2 x 3 x 691

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 8290 and 8292 is 2