Greatest Common Factor of 5082 and 5089

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 5082, 5089 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5082 and 5089 is 7.

GCF(5082,5089) = 7

GCF of 5082 and 5089

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

GCF of:
and

Greatest Common Factor of 5082 and 5089

GCF of 5082 and 5089 is 7

Prime Factorization of 5082


2 5082
3 2541
7 847
11 121
11 11
1

Prime factors of 5082 are 2,3,7,11. Prime factorization of 5082 in exponential form is:

5082 = 21×31×71×112

Prime Factorization of 5089


7 5089
727 727
1

Prime factors of 5089 are 7,727. Prime factorization of 5089 in exponential form is:

5089 = 71×7271

∴ So by taking common prime factors GCF of 5082 and 5089 is 7

Greatest Common Factor of 5082 and 5089 by matching factors method

Factors of 5082

List of positive integer factors of 5082 that divides 5082 without a remainder.

1,2,3,6,7,11,14,21,22,33,42,66,77,121,154,231,242,363,462,726,847,1694,2541,5082

Factors of 5089

List of positive integer factors of 5089 that divides 5089 without a remainder.

1,7,727,5089

Greatest Common Factor

We found the factors and prime factorization of 5082 and 5089. The biggest common factor number is the GCF number.
So the greatest common factor 5082 and 5089 is 7.

Also check out the Least Common Multiple of 5082 and 5089

Properties of GCF 5082 and 5089

(i) The GCF of 5082 and 5089 is associative

GCF of 5082 and 5089 = GCF of 5089 and 5082

Related Greatest Common Factor of 5082

Related Greatest Common Factor of 5089

Frequently Asked Questions on GCF of 5082 and 5089

1. What is the GCF of 5082 and 5089?

Answer: GCF of 5082 and 5089 is 7.

2. What are the Factors of 5082?

Answer: Factors of 5082 are 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 121, 154, 231, 242, 363, 462, 726, 847, 1694, 2541, 5082. There are 24 integers that are factors of 5082. The greatest factor of 5082 is 5082.

3. What are the Factors of 5089?

Answer: Factors of 5089 are 1, 7, 727, 5089. There are 4 integers that are factors of 5089. The greatest factor of 5089 is 5089.

4. How to Find the GCF of 5082 and 5089?

Answer:

Greatest Common Factor of 5082 and 5089 = 7

Step 1: Find the prime factorization of 5082

5082 = 2 x 3 x 7 x 11 x 11

Step 2: Find the prime factorization of 5089

5089 = 7 x 727

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 5082 and 5089 is 7