Greatest Common Factor of 5096 and 5100

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, 5100 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5096 and 5100 is 4.

GCF(5096,5100) = 4

GCF of 5096 and 5100

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

GCF of:
and

Greatest Common Factor of 5096 and 5100

GCF of 5096 and 5100 is 4

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 5100


2 5100
2 2550
3 1275
5 425
5 85
17 17
1

Prime factors of 5100 are 2,3,5,17. Prime factorization of 5100 in exponential form is:

5100 = 22×31×52×171

∴ So by taking common prime factors GCF of 5096 and 5100 is 4

Greatest Common Factor of 5096 and 5100 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 5100

List of positive integer factors of 5100 that divides 5100 without a remainder.

1,2,3,4,5,6,10,12,15,17,20,25,30,34,50,51,60,68,75,85,100,102,150,170,204,255,300,340,425,510,850,1020,1275,1700,2550,5100

Greatest Common Factor

We found the factors and prime factorization of 5096 and 5100. The biggest common factor number is the GCF number.
So the greatest common factor 5096 and 5100 is 4.

Also check out the Least Common Multiple of 5096 and 5100

Properties of GCF 5096 and 5100

(i) The GCF of 5096 and 5100 is associative

GCF of 5096 and 5100 = GCF of 5100 and 5096

Related Greatest Common Factor of 5096

Related Greatest Common Factor of 5100

Frequently Asked Questions on GCF of 5096 and 5100

1. What is the GCF of 5096 and 5100?

Answer: GCF of 5096 and 5100 is 4.

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 5100?

Answer: Factors of 5100 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 17, 20, 25, 30, 34, 50, 51, 60, 68, 75, 85, 100, 102, 150, 170, 204, 255, 300, 340, 425, 510, 850, 1020, 1275, 1700, 2550, 5100. There are 36 integers that are factors of 5100. The greatest factor of 5100 is 5100.

4. How to Find the GCF of 5096 and 5100?

Answer:

Greatest Common Factor of 5096 and 5100 = 4

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 5100

5100 = 2 x 2 x 3 x 5 x 5 x 17

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 5096 and 5100 is 4