Greatest Common Factor of 5049 and 5055

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 5049, 5055 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5049 and 5055 is 3.

GCF(5049,5055) = 3

GCF of 5049 and 5055

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

GCF of:
and

Greatest Common Factor of 5049 and 5055

GCF of 5049 and 5055 is 3

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

Prime Factorization of 5055


3 5055
5 1685
337 337
1

Prime factors of 5055 are 3,5,337. Prime factorization of 5055 in exponential form is:

5055 = 31×51×3371

∴ So by taking common prime factors GCF of 5049 and 5055 is 3

Greatest Common Factor of 5049 and 5055 by matching factors method

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

Factors of 5055

List of positive integer factors of 5055 that divides 5055 without a remainder.

1,3,5,15,337,1011,1685,5055

Greatest Common Factor

We found the factors and prime factorization of 5049 and 5055. The biggest common factor number is the GCF number.
So the greatest common factor 5049 and 5055 is 3.

Also check out the Least Common Multiple of 5049 and 5055

Properties of GCF 5049 and 5055

(i) The GCF of 5049 and 5055 is associative

GCF of 5049 and 5055 = GCF of 5055 and 5049

Related Greatest Common Factor of 5049

Related Greatest Common Factor of 5055

Frequently Asked Questions on GCF of 5049 and 5055

1. What is the GCF of 5049 and 5055?

Answer: GCF of 5049 and 5055 is 3.

2. 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.

3. What are the Factors of 5055?

Answer: Factors of 5055 are 1, 3, 5, 15, 337, 1011, 1685, 5055. There are 8 integers that are factors of 5055. The greatest factor of 5055 is 5055.

4. How to Find the GCF of 5049 and 5055?

Answer:

Greatest Common Factor of 5049 and 5055 = 3

Step 1: Find the prime factorization of 5049

5049 = 3 x 3 x 3 x 11 x 17

Step 2: Find the prime factorization of 5055

5055 = 3 x 5 x 337

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 5049 and 5055 is 3