Greatest Common Factor of 5096 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 5096, 5103 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5096 and 5103 is 7.

GCF(5096,5103) = 7

GCF of 5096 and 5103

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

GCF of:
and

Greatest Common Factor of 5096 and 5103

GCF of 5096 and 5103 is 7

Prime Factorization of 5096


2 5096
2 2548
2 1274
7 637
7 91
13 13
1

Prime factors of 5096 are 2,7,13. Prime factorization of 5096 in exponential form is:

5096 = 23×72×131

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 5096 and 5103 is 7

Greatest Common Factor of 5096 and 5103 by matching factors method

Factors of 5096

List of positive integer factors of 5096 that divides 5096 without a remainder.

1,2,4,7,8,13,14,26,28,49,52,56,91,98,104,182,196,364,392,637,728,1274,2548,5096

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 5096 and 5103. The biggest common factor number is the GCF number.
So the greatest common factor 5096 and 5103 is 7.

Also check out the Least Common Multiple of 5096 and 5103

Properties of GCF 5096 and 5103

(i) The GCF of 5096 and 5103 is associative

GCF of 5096 and 5103 = GCF of 5103 and 5096

Related Greatest Common Factor of 5096

Related Greatest Common Factor of 5103

Frequently Asked Questions on GCF of 5096 and 5103

1. What is the GCF of 5096 and 5103?

Answer: GCF of 5096 and 5103 is 7.

2. What are the Factors of 5096?

Answer: Factors of 5096 are 1, 2, 4, 7, 8, 13, 14, 26, 28, 49, 52, 56, 91, 98, 104, 182, 196, 364, 392, 637, 728, 1274, 2548, 5096. There are 24 integers that are factors of 5096. The greatest factor of 5096 is 5096.

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 5096 and 5103?

Answer:

Greatest Common Factor of 5096 and 5103 = 7

Step 1: Find the prime factorization of 5096

5096 = 2 x 2 x 2 x 7 x 7 x 13

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 = 7

Step 4: Therefore, the greatest common factor of 5096 and 5103 is 7