Greatest Common Factor of 15200 and 15205

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 15200, 15205 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 15200 and 15205 is 5.

GCF(15200,15205) = 5

GCF of 15200 and 15205

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

GCF of:
and

Greatest Common Factor of 15200 and 15205

GCF of 15200 and 15205 is 5

Prime Factorization of 15200


2 15200
2 7600
2 3800
2 1900
2 950
5 475
5 95
19 19
1

Prime factors of 15200 are 2,5,19. Prime factorization of 15200 in exponential form is:

15200 = 25×52×191

Prime Factorization of 15205


5 15205
3041 3041
1

Prime factors of 15205 are 5,3041. Prime factorization of 15205 in exponential form is:

15205 = 51×30411

∴ So by taking common prime factors GCF of 15200 and 15205 is 5

Greatest Common Factor of 15200 and 15205 by matching factors method

Factors of 15200

List of positive integer factors of 15200 that divides 15200 without a remainder.

1,2,4,5,8,10,16,19,20,25,32,38,40,50,76,80,95,100,152,160,190,200,304,380,400,475,608,760,800,950,1520,1900,3040,3800,7600,15200

Factors of 15205

List of positive integer factors of 15205 that divides 15205 without a remainder.

1,5,3041,15205

Greatest Common Factor

We found the factors and prime factorization of 15200 and 15205. The biggest common factor number is the GCF number.
So the greatest common factor 15200 and 15205 is 5.

Also check out the Least Common Multiple of 15200 and 15205

Properties of GCF 15200 and 15205

(i) The GCF of 15200 and 15205 is associative

GCF of 15200 and 15205 = GCF of 15205 and 15200

Related Greatest Common Factor of 15200

Related Greatest Common Factor of 15205

Frequently Asked Questions on GCF of 15200 and 15205

1. What is the GCF of 15200 and 15205?

Answer: GCF of 15200 and 15205 is 5.

2. What are the Factors of 15200?

Answer: Factors of 15200 are 1, 2, 4, 5, 8, 10, 16, 19, 20, 25, 32, 38, 40, 50, 76, 80, 95, 100, 152, 160, 190, 200, 304, 380, 400, 475, 608, 760, 800, 950, 1520, 1900, 3040, 3800, 7600, 15200. There are 36 integers that are factors of 15200. The greatest factor of 15200 is 15200.

3. What are the Factors of 15205?

Answer: Factors of 15205 are 1, 5, 3041, 15205. There are 4 integers that are factors of 15205. The greatest factor of 15205 is 15205.

4. How to Find the GCF of 15200 and 15205?

Answer:

Greatest Common Factor of 15200 and 15205 = 5

Step 1: Find the prime factorization of 15200

15200 = 2 x 2 x 2 x 2 x 2 x 5 x 5 x 19

Step 2: Find the prime factorization of 15205

15205 = 5 x 3041

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 15200 and 15205 is 5