Greatest Common Factor of 5046 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 5046, 5049 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5046 and 5049 is 3.

GCF(5046,5049) = 3

GCF of 5046 and 5049

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

GCF of:
and

Greatest Common Factor of 5046 and 5049

GCF of 5046 and 5049 is 3

Prime Factorization of 5046


2 5046
3 2523
29 841
29 29
1

Prime factors of 5046 are 2,3,29. Prime factorization of 5046 in exponential form is:

5046 = 21×31×292

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 5046 and 5049 is 3

Greatest Common Factor of 5046 and 5049 by matching factors method

Factors of 5046

List of positive integer factors of 5046 that divides 5046 without a remainder.

1,2,3,6,29,58,87,174,841,1682,2523,5046

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 5046 and 5049. The biggest common factor number is the GCF number.
So the greatest common factor 5046 and 5049 is 3.

Also check out the Least Common Multiple of 5046 and 5049

Properties of GCF 5046 and 5049

(i) The GCF of 5046 and 5049 is associative

GCF of 5046 and 5049 = GCF of 5049 and 5046

Related Greatest Common Factor of 5046

Related Greatest Common Factor of 5049

Frequently Asked Questions on GCF of 5046 and 5049

1. What is the GCF of 5046 and 5049?

Answer: GCF of 5046 and 5049 is 3.

2. What are the Factors of 5046?

Answer: Factors of 5046 are 1, 2, 3, 6, 29, 58, 87, 174, 841, 1682, 2523, 5046. There are 12 integers that are factors of 5046. The greatest factor of 5046 is 5046.

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 5046 and 5049?

Answer:

Greatest Common Factor of 5046 and 5049 = 3

Step 1: Find the prime factorization of 5046

5046 = 2 x 3 x 29 x 29

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 5046 and 5049 is 3