Greatest Common Factor of 15400 and 15403

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, 15403 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 15400 and 15403 is 1.

GCF(15400,15403) = 1

GCF of 15400 and 15403

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

GCF of:
and

Greatest Common Factor of 15400 and 15403

GCF of 15400 and 15403 is 1

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 15403


73 15403
211 211
1

Prime factors of 15403 are 73,211. Prime factorization of 15403 in exponential form is:

15403 = 731×2111

∴ So by taking common prime factors GCF of 15400 and 15403 is 1

Greatest Common Factor of 15400 and 15403 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 15403

List of positive integer factors of 15403 that divides 15403 without a remainder.

1,73,211,15403

Greatest Common Factor

We found the factors and prime factorization of 15400 and 15403. The biggest common factor number is the GCF number.
So the greatest common factor 15400 and 15403 is 1.

Also check out the Least Common Multiple of 15400 and 15403

Properties of GCF 15400 and 15403

(i) The GCF of 15400 and 15403 is associative

GCF of 15400 and 15403 = GCF of 15403 and 15400

Frequently Asked Questions on GCF of 15400 and 15403

1. What is the GCF of 15400 and 15403?

Answer: GCF of 15400 and 15403 is 1.

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 15403?

Answer: Factors of 15403 are 1, 73, 211, 15403. There are 4 integers that are factors of 15403. The greatest factor of 15403 is 15403.

4. How to Find the GCF of 15400 and 15403?

Answer:

Greatest Common Factor of 15400 and 15403 = 1

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 15403

15403 = 73 x 211

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 15400 and 15403 is 1