Greatest Common Factor of 15400 and 15404

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 15400, 15404 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 15400 and 15404 is 4.

GCF(15400,15404) = 4

GCF of 15400 and 15404

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

GCF of:
and

Greatest Common Factor of 15400 and 15404

GCF of 15400 and 15404 is 4

Prime Factorization of 15400


2 15400
2 7700
2 3850
5 1925
5 385
7 77
11 11
1

Prime factors of 15400 are 2,5,7,11. Prime factorization of 15400 in exponential form is:

15400 = 23×52×71×111

Prime Factorization of 15404


2 15404
2 7702
3851 3851
1

Prime factors of 15404 are 2,3851. Prime factorization of 15404 in exponential form is:

15404 = 22×38511

∴ So by taking common prime factors GCF of 15400 and 15404 is 4

Greatest Common Factor of 15400 and 15404 by matching factors method

Factors of 15400

List of positive integer factors of 15400 that divides 15400 without a remainder.

1,2,4,5,7,8,10,11,14,20,22,25,28,35,40,44,50,55,56,70,77,88,100,110,140,154,175,200,220,275,280,308,350,385,440,550,616,700,770,1100,1400,1540,1925,2200,3080,3850,7700,15400

Factors of 15404

List of positive integer factors of 15404 that divides 15404 without a remainder.

1,2,4,3851,7702,15404

Greatest Common Factor

We found the factors and prime factorization of 15400 and 15404. The biggest common factor number is the GCF number.
So the greatest common factor 15400 and 15404 is 4.

Also check out the Least Common Multiple of 15400 and 15404

Properties of GCF 15400 and 15404

(i) The GCF of 15400 and 15404 is associative

GCF of 15400 and 15404 = GCF of 15404 and 15400

Related Greatest Common Factor of 15400

Related Greatest Common Factor of 15404

Frequently Asked Questions on GCF of 15400 and 15404

1. What is the GCF of 15400 and 15404?

Answer: GCF of 15400 and 15404 is 4.

2. What are the Factors of 15400?

Answer: Factors of 15400 are 1, 2, 4, 5, 7, 8, 10, 11, 14, 20, 22, 25, 28, 35, 40, 44, 50, 55, 56, 70, 77, 88, 100, 110, 140, 154, 175, 200, 220, 275, 280, 308, 350, 385, 440, 550, 616, 700, 770, 1100, 1400, 1540, 1925, 2200, 3080, 3850, 7700, 15400. There are 48 integers that are factors of 15400. The greatest factor of 15400 is 15400.

3. What are the Factors of 15404?

Answer: Factors of 15404 are 1, 2, 4, 3851, 7702, 15404. There are 6 integers that are factors of 15404. The greatest factor of 15404 is 15404.

4. How to Find the GCF of 15400 and 15404?

Answer:

Greatest Common Factor of 15400 and 15404 = 4

Step 1: Find the prime factorization of 15400

15400 = 2 x 2 x 2 x 5 x 5 x 7 x 11

Step 2: Find the prime factorization of 15404

15404 = 2 x 2 x 3851

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 15400 and 15404 is 4