Greatest Common Factor of 8284 and 8289

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 8284, 8289 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8284 and 8289 is 1.

GCF(8284,8289) = 1

GCF of 8284 and 8289

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

GCF of:
and

Greatest Common Factor of 8284 and 8289

GCF of 8284 and 8289 is 1

Prime Factorization of 8284


2 8284
2 4142
19 2071
109 109
1

Prime factors of 8284 are 2,19,109. Prime factorization of 8284 in exponential form is:

8284 = 22×191×1091

Prime Factorization of 8289


3 8289
3 2763
3 921
307 307
1

Prime factors of 8289 are 3,307. Prime factorization of 8289 in exponential form is:

8289 = 33×3071

∴ So by taking common prime factors GCF of 8284 and 8289 is 1

Greatest Common Factor of 8284 and 8289 by matching factors method

Factors of 8284

List of positive integer factors of 8284 that divides 8284 without a remainder.

1,2,4,19,38,76,109,218,436,2071,4142,8284

Factors of 8289

List of positive integer factors of 8289 that divides 8289 without a remainder.

1,3,9,27,307,921,2763,8289

Greatest Common Factor

We found the factors and prime factorization of 8284 and 8289. The biggest common factor number is the GCF number.
So the greatest common factor 8284 and 8289 is 1.

Also check out the Least Common Multiple of 8284 and 8289

Properties of GCF 8284 and 8289

(i) The GCF of 8284 and 8289 is associative

GCF of 8284 and 8289 = GCF of 8289 and 8284

Frequently Asked Questions on GCF of 8284 and 8289

1. What is the GCF of 8284 and 8289?

Answer: GCF of 8284 and 8289 is 1.

2. What are the Factors of 8284?

Answer: Factors of 8284 are 1, 2, 4, 19, 38, 76, 109, 218, 436, 2071, 4142, 8284. There are 12 integers that are factors of 8284. The greatest factor of 8284 is 8284.

3. What are the Factors of 8289?

Answer: Factors of 8289 are 1, 3, 9, 27, 307, 921, 2763, 8289. There are 8 integers that are factors of 8289. The greatest factor of 8289 is 8289.

4. How to Find the GCF of 8284 and 8289?

Answer:

Greatest Common Factor of 8284 and 8289 = 1

Step 1: Find the prime factorization of 8284

8284 = 2 x 2 x 19 x 109

Step 2: Find the prime factorization of 8289

8289 = 3 x 3 x 3 x 307

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 8284 and 8289 is 1