Greatest Common Factor of 5097 and 5103

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 5097, 5103 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5097 and 5103 is 3.

GCF(5097,5103) = 3

GCF of 5097 and 5103

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

GCF of:
and

Greatest Common Factor of 5097 and 5103

GCF of 5097 and 5103 is 3

Prime Factorization of 5097


3 5097
1699 1699
1

Prime factors of 5097 are 3,1699. Prime factorization of 5097 in exponential form is:

5097 = 31×16991

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

∴ So by taking common prime factors GCF of 5097 and 5103 is 3

Greatest Common Factor of 5097 and 5103 by matching factors method

Factors of 5097

List of positive integer factors of 5097 that divides 5097 without a remainder.

1,3,1699,5097

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

Greatest Common Factor

We found the factors and prime factorization of 5097 and 5103. The biggest common factor number is the GCF number.
So the greatest common factor 5097 and 5103 is 3.

Also check out the Least Common Multiple of 5097 and 5103

Properties of GCF 5097 and 5103

(i) The GCF of 5097 and 5103 is associative

GCF of 5097 and 5103 = GCF of 5103 and 5097

Related Greatest Common Factor of 5097

Related Greatest Common Factor of 5103

Frequently Asked Questions on GCF of 5097 and 5103

1. What is the GCF of 5097 and 5103?

Answer: GCF of 5097 and 5103 is 3.

2. What are the Factors of 5097?

Answer: Factors of 5097 are 1, 3, 1699, 5097. There are 4 integers that are factors of 5097. The greatest factor of 5097 is 5097.

3. 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.

4. How to Find the GCF of 5097 and 5103?

Answer:

Greatest Common Factor of 5097 and 5103 = 3

Step 1: Find the prime factorization of 5097

5097 = 3 x 1699

Step 2: Find the prime factorization of 5103

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

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 5097 and 5103 is 3