Greatest Common Factor of 8274 and 8281

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, 8281 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8274 and 8281 is 7.

GCF(8274,8281) = 7

GCF of 8274 and 8281

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

GCF of:
and

Greatest Common Factor of 8274 and 8281

GCF of 8274 and 8281 is 7

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 8281


7 8281
7 1183
13 169
13 13
1

Prime factors of 8281 are 7,13. Prime factorization of 8281 in exponential form is:

8281 = 72×132

∴ So by taking common prime factors GCF of 8274 and 8281 is 7

Greatest Common Factor of 8274 and 8281 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 8281

List of positive integer factors of 8281 that divides 8281 without a remainder.

1,7,13,49,91,169,637,1183,8281

Greatest Common Factor

We found the factors and prime factorization of 8274 and 8281. The biggest common factor number is the GCF number.
So the greatest common factor 8274 and 8281 is 7.

Also check out the Least Common Multiple of 8274 and 8281

Properties of GCF 8274 and 8281

(i) The GCF of 8274 and 8281 is associative

GCF of 8274 and 8281 = GCF of 8281 and 8274

Related Greatest Common Factor of 8274

Related Greatest Common Factor of 8281

Frequently Asked Questions on GCF of 8274 and 8281

1. What is the GCF of 8274 and 8281?

Answer: GCF of 8274 and 8281 is 7.

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 8281?

Answer: Factors of 8281 are 1, 7, 13, 49, 91, 169, 637, 1183, 8281. There are 9 integers that are factors of 8281. The greatest factor of 8281 is 8281.

4. How to Find the GCF of 8274 and 8281?

Answer:

Greatest Common Factor of 8274 and 8281 = 7

Step 1: Find the prime factorization of 8274

8274 = 2 x 3 x 7 x 197

Step 2: Find the prime factorization of 8281

8281 = 7 x 7 x 13 x 13

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

GCF = 7

Step 4: Therefore, the greatest common factor of 8274 and 8281 is 7