Greatest Common Factor of 13400 and 13404

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 13400, 13404 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 13400 and 13404 is 4.

GCF(13400,13404) = 4

GCF of 13400 and 13404

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

GCF of:
and

Greatest Common Factor of 13400 and 13404

GCF of 13400 and 13404 is 4

Prime Factorization of 13400


2 13400
2 6700
2 3350
5 1675
5 335
67 67
1

Prime factors of 13400 are 2,5,67. Prime factorization of 13400 in exponential form is:

13400 = 23×52×671

Prime Factorization of 13404


2 13404
2 6702
3 3351
1117 1117
1

Prime factors of 13404 are 2,3,1117. Prime factorization of 13404 in exponential form is:

13404 = 22×31×11171

∴ So by taking common prime factors GCF of 13400 and 13404 is 4

Greatest Common Factor of 13400 and 13404 by matching factors method

Factors of 13400

List of positive integer factors of 13400 that divides 13400 without a remainder.

1,2,4,5,8,10,20,25,40,50,67,100,134,200,268,335,536,670,1340,1675,2680,3350,6700,13400

Factors of 13404

List of positive integer factors of 13404 that divides 13404 without a remainder.

1,2,3,4,6,12,1117,2234,3351,4468,6702,13404

Greatest Common Factor

We found the factors and prime factorization of 13400 and 13404. The biggest common factor number is the GCF number.
So the greatest common factor 13400 and 13404 is 4.

Also check out the Least Common Multiple of 13400 and 13404

Properties of GCF 13400 and 13404

(i) The GCF of 13400 and 13404 is associative

GCF of 13400 and 13404 = GCF of 13404 and 13400

Related Greatest Common Factor of 13400

Related Greatest Common Factor of 13404

Frequently Asked Questions on GCF of 13400 and 13404

1. What is the GCF of 13400 and 13404?

Answer: GCF of 13400 and 13404 is 4.

2. What are the Factors of 13400?

Answer: Factors of 13400 are 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 67, 100, 134, 200, 268, 335, 536, 670, 1340, 1675, 2680, 3350, 6700, 13400. There are 24 integers that are factors of 13400. The greatest factor of 13400 is 13400.

3. What are the Factors of 13404?

Answer: Factors of 13404 are 1, 2, 3, 4, 6, 12, 1117, 2234, 3351, 4468, 6702, 13404. There are 12 integers that are factors of 13404. The greatest factor of 13404 is 13404.

4. How to Find the GCF of 13400 and 13404?

Answer:

Greatest Common Factor of 13400 and 13404 = 4

Step 1: Find the prime factorization of 13400

13400 = 2 x 2 x 2 x 5 x 5 x 67

Step 2: Find the prime factorization of 13404

13404 = 2 x 2 x 3 x 1117

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 13400 and 13404 is 4