Greatest Common Factor of 8285 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 8285, 8289 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8285 and 8289 is 1.

GCF(8285,8289) = 1

GCF of 8285 and 8289

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

GCF of:
and

Greatest Common Factor of 8285 and 8289

GCF of 8285 and 8289 is 1

Prime Factorization of 8285


5 8285
1657 1657
1

Prime factors of 8285 are 5,1657. Prime factorization of 8285 in exponential form is:

8285 = 51×16571

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 8285 and 8289 is 1

Greatest Common Factor of 8285 and 8289 by matching factors method

Factors of 8285

List of positive integer factors of 8285 that divides 8285 without a remainder.

1,5,1657,8285

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 8285 and 8289. The biggest common factor number is the GCF number.
So the greatest common factor 8285 and 8289 is 1.

Also check out the Least Common Multiple of 8285 and 8289

Properties of GCF 8285 and 8289

(i) The GCF of 8285 and 8289 is associative

GCF of 8285 and 8289 = GCF of 8289 and 8285

Related Greatest Common Factor of 8285

Related Greatest Common Factor of 8289

Frequently Asked Questions on GCF of 8285 and 8289

1. What is the GCF of 8285 and 8289?

Answer: GCF of 8285 and 8289 is 1.

2. What are the Factors of 8285?

Answer: Factors of 8285 are 1, 5, 1657, 8285. There are 4 integers that are factors of 8285. The greatest factor of 8285 is 8285.

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 8285 and 8289?

Answer:

Greatest Common Factor of 8285 and 8289 = 1

Step 1: Find the prime factorization of 8285

8285 = 5 x 1657

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 8285 and 8289 is 1