Greatest Common Factor of 5195 and 5200

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 5195, 5200 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5195 and 5200 is 5.

GCF(5195,5200) = 5

GCF of 5195 and 5200

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

GCF of:
and

Greatest Common Factor of 5195 and 5200

GCF of 5195 and 5200 is 5

Prime Factorization of 5195


5 5195
1039 1039
1

Prime factors of 5195 are 5,1039. Prime factorization of 5195 in exponential form is:

5195 = 51×10391

Prime Factorization of 5200


2 5200
2 2600
2 1300
2 650
5 325
5 65
13 13
1

Prime factors of 5200 are 2,5,13. Prime factorization of 5200 in exponential form is:

5200 = 24×52×131

∴ So by taking common prime factors GCF of 5195 and 5200 is 5

Greatest Common Factor of 5195 and 5200 by matching factors method

Factors of 5195

List of positive integer factors of 5195 that divides 5195 without a remainder.

1,5,1039,5195

Factors of 5200

List of positive integer factors of 5200 that divides 5200 without a remainder.

1,2,4,5,8,10,13,16,20,25,26,40,50,52,65,80,100,104,130,200,208,260,325,400,520,650,1040,1300,2600,5200

Greatest Common Factor

We found the factors and prime factorization of 5195 and 5200. The biggest common factor number is the GCF number.
So the greatest common factor 5195 and 5200 is 5.

Also check out the Least Common Multiple of 5195 and 5200

Properties of GCF 5195 and 5200

(i) The GCF of 5195 and 5200 is associative

GCF of 5195 and 5200 = GCF of 5200 and 5195

Related Greatest Common Factor of 5195

Related Greatest Common Factor of 5200

Frequently Asked Questions on GCF of 5195 and 5200

1. What is the GCF of 5195 and 5200?

Answer: GCF of 5195 and 5200 is 5.

2. What are the Factors of 5195?

Answer: Factors of 5195 are 1, 5, 1039, 5195. There are 4 integers that are factors of 5195. The greatest factor of 5195 is 5195.

3. What are the Factors of 5200?

Answer: Factors of 5200 are 1, 2, 4, 5, 8, 10, 13, 16, 20, 25, 26, 40, 50, 52, 65, 80, 100, 104, 130, 200, 208, 260, 325, 400, 520, 650, 1040, 1300, 2600, 5200. There are 30 integers that are factors of 5200. The greatest factor of 5200 is 5200.

4. How to Find the GCF of 5195 and 5200?

Answer:

Greatest Common Factor of 5195 and 5200 = 5

Step 1: Find the prime factorization of 5195

5195 = 5 x 1039

Step 2: Find the prime factorization of 5200

5200 = 2 x 2 x 2 x 2 x 5 x 5 x 13

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

GCF = 5

Step 4: Therefore, the greatest common factor of 5195 and 5200 is 5