Greatest Common Factor of 5283 and 5289

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 5283, 5289 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5283 and 5289 is 3.

GCF(5283,5289) = 3

GCF of 5283 and 5289

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

GCF of:
and

Greatest Common Factor of 5283 and 5289

GCF of 5283 and 5289 is 3

Prime Factorization of 5283


3 5283
3 1761
587 587
1

Prime factors of 5283 are 3,587. Prime factorization of 5283 in exponential form is:

5283 = 32×5871

Prime Factorization of 5289


3 5289
41 1763
43 43
1

Prime factors of 5289 are 3,41,43. Prime factorization of 5289 in exponential form is:

5289 = 31×411×431

∴ So by taking common prime factors GCF of 5283 and 5289 is 3

Greatest Common Factor of 5283 and 5289 by matching factors method

Factors of 5283

List of positive integer factors of 5283 that divides 5283 without a remainder.

1,3,9,587,1761,5283

Factors of 5289

List of positive integer factors of 5289 that divides 5289 without a remainder.

1,3,41,43,123,129,1763,5289

Greatest Common Factor

We found the factors and prime factorization of 5283 and 5289. The biggest common factor number is the GCF number.
So the greatest common factor 5283 and 5289 is 3.

Also check out the Least Common Multiple of 5283 and 5289

Properties of GCF 5283 and 5289

(i) The GCF of 5283 and 5289 is associative

GCF of 5283 and 5289 = GCF of 5289 and 5283

Related Greatest Common Factor of 5283

Related Greatest Common Factor of 5289

Frequently Asked Questions on GCF of 5283 and 5289

1. What is the GCF of 5283 and 5289?

Answer: GCF of 5283 and 5289 is 3.

2. What are the Factors of 5283?

Answer: Factors of 5283 are 1, 3, 9, 587, 1761, 5283. There are 6 integers that are factors of 5283. The greatest factor of 5283 is 5283.

3. What are the Factors of 5289?

Answer: Factors of 5289 are 1, 3, 41, 43, 123, 129, 1763, 5289. There are 8 integers that are factors of 5289. The greatest factor of 5289 is 5289.

4. How to Find the GCF of 5283 and 5289?

Answer:

Greatest Common Factor of 5283 and 5289 = 3

Step 1: Find the prime factorization of 5283

5283 = 3 x 3 x 587

Step 2: Find the prime factorization of 5289

5289 = 3 x 41 x 43

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

GCF = 3

Step 4: Therefore, the greatest common factor of 5283 and 5289 is 3