Greatest Common Factor of 5043 and 5049

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 5043, 5049 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5043 and 5049 is 3.

GCF(5043,5049) = 3

GCF of 5043 and 5049

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

GCF of:
and

Greatest Common Factor of 5043 and 5049

GCF of 5043 and 5049 is 3

Prime Factorization of 5043


3 5043
41 1681
41 41
1

Prime factors of 5043 are 3,41. Prime factorization of 5043 in exponential form is:

5043 = 31×412

Prime Factorization of 5049


3 5049
3 1683
3 561
11 187
17 17
1

Prime factors of 5049 are 3,11,17. Prime factorization of 5049 in exponential form is:

5049 = 33×111×171

∴ So by taking common prime factors GCF of 5043 and 5049 is 3

Greatest Common Factor of 5043 and 5049 by matching factors method

Factors of 5043

List of positive integer factors of 5043 that divides 5043 without a remainder.

1,3,41,123,1681,5043

Factors of 5049

List of positive integer factors of 5049 that divides 5049 without a remainder.

1,3,9,11,17,27,33,51,99,153,187,297,459,561,1683,5049

Greatest Common Factor

We found the factors and prime factorization of 5043 and 5049. The biggest common factor number is the GCF number.
So the greatest common factor 5043 and 5049 is 3.

Also check out the Least Common Multiple of 5043 and 5049

Properties of GCF 5043 and 5049

(i) The GCF of 5043 and 5049 is associative

GCF of 5043 and 5049 = GCF of 5049 and 5043

Related Greatest Common Factor of 5043

Related Greatest Common Factor of 5049

Frequently Asked Questions on GCF of 5043 and 5049

1. What is the GCF of 5043 and 5049?

Answer: GCF of 5043 and 5049 is 3.

2. What are the Factors of 5043?

Answer: Factors of 5043 are 1, 3, 41, 123, 1681, 5043. There are 6 integers that are factors of 5043. The greatest factor of 5043 is 5043.

3. What are the Factors of 5049?

Answer: Factors of 5049 are 1, 3, 9, 11, 17, 27, 33, 51, 99, 153, 187, 297, 459, 561, 1683, 5049. There are 16 integers that are factors of 5049. The greatest factor of 5049 is 5049.

4. How to Find the GCF of 5043 and 5049?

Answer:

Greatest Common Factor of 5043 and 5049 = 3

Step 1: Find the prime factorization of 5043

5043 = 3 x 41 x 41

Step 2: Find the prime factorization of 5049

5049 = 3 x 3 x 3 x 11 x 17

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 5043 and 5049 is 3