Greatest Common Factor of 15400 and 15408

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, 15408 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 15400 and 15408 is 8.

GCF(15400,15408) = 8

GCF of 15400 and 15408

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

GCF of:
and

Greatest Common Factor of 15400 and 15408

GCF of 15400 and 15408 is 8

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 15408


2 15408
2 7704
2 3852
2 1926
3 963
3 321
107 107
1

Prime factors of 15408 are 2,3,107. Prime factorization of 15408 in exponential form is:

15408 = 24×32×1071

∴ So by taking common prime factors GCF of 15400 and 15408 is 8

Greatest Common Factor of 15400 and 15408 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 15408

List of positive integer factors of 15408 that divides 15408 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,36,48,72,107,144,214,321,428,642,856,963,1284,1712,1926,2568,3852,5136,7704,15408

Greatest Common Factor

We found the factors and prime factorization of 15400 and 15408. The biggest common factor number is the GCF number.
So the greatest common factor 15400 and 15408 is 8.

Also check out the Least Common Multiple of 15400 and 15408

Properties of GCF 15400 and 15408

(i) The GCF of 15400 and 15408 is associative

GCF of 15400 and 15408 = GCF of 15408 and 15400

Related Greatest Common Factor of 15400

Related Greatest Common Factor of 15408

Frequently Asked Questions on GCF of 15400 and 15408

1. What is the GCF of 15400 and 15408?

Answer: GCF of 15400 and 15408 is 8.

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 15408?

Answer: Factors of 15408 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 107, 144, 214, 321, 428, 642, 856, 963, 1284, 1712, 1926, 2568, 3852, 5136, 7704, 15408. There are 30 integers that are factors of 15408. The greatest factor of 15408 is 15408.

4. How to Find the GCF of 15400 and 15408?

Answer:

Greatest Common Factor of 15400 and 15408 = 8

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 15408

15408 = 2 x 2 x 2 x 2 x 3 x 3 x 107

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

GCF = 2 x 2 x 2 = 8

Step 4: Therefore, the greatest common factor of 15400 and 15408 is 8