Greatest Common Factor of 5103 and 5109

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 5103, 5109 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5103 and 5109 is 3.

GCF(5103,5109) = 3

GCF of 5103 and 5109

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

GCF of:
and

Greatest Common Factor of 5103 and 5109

GCF of 5103 and 5109 is 3

Prime Factorization of 5103


3 5103
3 1701
3 567
3 189
3 63
3 21
7 7
1

Prime factors of 5103 are 3,7. Prime factorization of 5103 in exponential form is:

5103 = 36×71

Prime Factorization of 5109


3 5109
13 1703
131 131
1

Prime factors of 5109 are 3,13,131. Prime factorization of 5109 in exponential form is:

5109 = 31×131×1311

∴ So by taking common prime factors GCF of 5103 and 5109 is 3

Greatest Common Factor of 5103 and 5109 by matching factors method

Factors of 5103

List of positive integer factors of 5103 that divides 5103 without a remainder.

1,3,7,9,21,27,63,81,189,243,567,729,1701,5103

Factors of 5109

List of positive integer factors of 5109 that divides 5109 without a remainder.

1,3,13,39,131,393,1703,5109

Greatest Common Factor

We found the factors and prime factorization of 5103 and 5109. The biggest common factor number is the GCF number.
So the greatest common factor 5103 and 5109 is 3.

Also check out the Least Common Multiple of 5103 and 5109

Properties of GCF 5103 and 5109

(i) The GCF of 5103 and 5109 is associative

GCF of 5103 and 5109 = GCF of 5109 and 5103

Related Greatest Common Factor of 5103

Related Greatest Common Factor of 5109

Frequently Asked Questions on GCF of 5103 and 5109

1. What is the GCF of 5103 and 5109?

Answer: GCF of 5103 and 5109 is 3.

2. What are the Factors of 5103?

Answer: Factors of 5103 are 1, 3, 7, 9, 21, 27, 63, 81, 189, 243, 567, 729, 1701, 5103. There are 14 integers that are factors of 5103. The greatest factor of 5103 is 5103.

3. What are the Factors of 5109?

Answer: Factors of 5109 are 1, 3, 13, 39, 131, 393, 1703, 5109. There are 8 integers that are factors of 5109. The greatest factor of 5109 is 5109.

4. How to Find the GCF of 5103 and 5109?

Answer:

Greatest Common Factor of 5103 and 5109 = 3

Step 1: Find the prime factorization of 5103

5103 = 3 x 3 x 3 x 3 x 3 x 3 x 7

Step 2: Find the prime factorization of 5109

5109 = 3 x 13 x 131

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 5103 and 5109 is 3