Greatest Common Factor of 8274 and 8278

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 8274, 8278 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8274 and 8278 is 2.

GCF(8274,8278) = 2

GCF of 8274 and 8278

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

GCF of:
and

Greatest Common Factor of 8274 and 8278

GCF of 8274 and 8278 is 2

Prime Factorization of 8274


2 8274
3 4137
7 1379
197 197
1

Prime factors of 8274 are 2,3,7,197. Prime factorization of 8274 in exponential form is:

8274 = 21×31×71×1971

Prime Factorization of 8278


2 8278
4139 4139
1

Prime factors of 8278 are 2,4139. Prime factorization of 8278 in exponential form is:

8278 = 21×41391

∴ So by taking common prime factors GCF of 8274 and 8278 is 2

Greatest Common Factor of 8274 and 8278 by matching factors method

Factors of 8274

List of positive integer factors of 8274 that divides 8274 without a remainder.

1,2,3,6,7,14,21,42,197,394,591,1182,1379,2758,4137,8274

Factors of 8278

List of positive integer factors of 8278 that divides 8278 without a remainder.

1,2,4139,8278

Greatest Common Factor

We found the factors and prime factorization of 8274 and 8278. The biggest common factor number is the GCF number.
So the greatest common factor 8274 and 8278 is 2.

Also check out the Least Common Multiple of 8274 and 8278

Properties of GCF 8274 and 8278

(i) The GCF of 8274 and 8278 is associative

GCF of 8274 and 8278 = GCF of 8278 and 8274

Related Greatest Common Factor of 8274

Related Greatest Common Factor of 8278

Frequently Asked Questions on GCF of 8274 and 8278

1. What is the GCF of 8274 and 8278?

Answer: GCF of 8274 and 8278 is 2.

2. What are the Factors of 8274?

Answer: Factors of 8274 are 1, 2, 3, 6, 7, 14, 21, 42, 197, 394, 591, 1182, 1379, 2758, 4137, 8274. There are 16 integers that are factors of 8274. The greatest factor of 8274 is 8274.

3. What are the Factors of 8278?

Answer: Factors of 8278 are 1, 2, 4139, 8278. There are 4 integers that are factors of 8278. The greatest factor of 8278 is 8278.

4. How to Find the GCF of 8274 and 8278?

Answer:

Greatest Common Factor of 8274 and 8278 = 2

Step 1: Find the prime factorization of 8274

8274 = 2 x 3 x 7 x 197

Step 2: Find the prime factorization of 8278

8278 = 2 x 4139

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 8274 and 8278 is 2