Greatest Common Factor of 8282 and 8290

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 8282, 8290 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8282 and 8290 is 2.

GCF(8282,8290) = 2

GCF of 8282 and 8290

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

GCF of:
and

Greatest Common Factor of 8282 and 8290

GCF of 8282 and 8290 is 2

Prime Factorization of 8282


2 8282
41 4141
101 101
1

Prime factors of 8282 are 2,41,101. Prime factorization of 8282 in exponential form is:

8282 = 21×411×1011

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

∴ So by taking common prime factors GCF of 8282 and 8290 is 2

Greatest Common Factor of 8282 and 8290 by matching factors method

Factors of 8282

List of positive integer factors of 8282 that divides 8282 without a remainder.

1,2,41,82,101,202,4141,8282

Factors of 8290

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

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

Greatest Common Factor

We found the factors and prime factorization of 8282 and 8290. The biggest common factor number is the GCF number.
So the greatest common factor 8282 and 8290 is 2.

Also check out the Least Common Multiple of 8282 and 8290

Properties of GCF 8282 and 8290

(i) The GCF of 8282 and 8290 is associative

GCF of 8282 and 8290 = GCF of 8290 and 8282

Related Greatest Common Factor of 8282

Related Greatest Common Factor of 8290

Frequently Asked Questions on GCF of 8282 and 8290

1. What is the GCF of 8282 and 8290?

Answer: GCF of 8282 and 8290 is 2.

2. What are the Factors of 8282?

Answer: Factors of 8282 are 1, 2, 41, 82, 101, 202, 4141, 8282. There are 8 integers that are factors of 8282. The greatest factor of 8282 is 8282.

3. 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.

4. How to Find the GCF of 8282 and 8290?

Answer:

Greatest Common Factor of 8282 and 8290 = 2

Step 1: Find the prime factorization of 8282

8282 = 2 x 41 x 101

Step 2: Find the prime factorization of 8290

8290 = 2 x 5 x 829

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 8282 and 8290 is 2