Greatest Common Factor of 13400 and 13402

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, 13402 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 13400 and 13402 is 2.

GCF(13400,13402) = 2

GCF of 13400 and 13402

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

GCF of:
and

Greatest Common Factor of 13400 and 13402

GCF of 13400 and 13402 is 2

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 13402


2 13402
6701 6701
1

Prime factors of 13402 are 2,6701. Prime factorization of 13402 in exponential form is:

13402 = 21×67011

∴ So by taking common prime factors GCF of 13400 and 13402 is 2

Greatest Common Factor of 13400 and 13402 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 13402

List of positive integer factors of 13402 that divides 13402 without a remainder.

1,2,6701,13402

Greatest Common Factor

We found the factors and prime factorization of 13400 and 13402. The biggest common factor number is the GCF number.
So the greatest common factor 13400 and 13402 is 2.

Also check out the Least Common Multiple of 13400 and 13402

Properties of GCF 13400 and 13402

(i) The GCF of 13400 and 13402 is associative

GCF of 13400 and 13402 = GCF of 13402 and 13400

Related Greatest Common Factor of 13400

Related Greatest Common Factor of 13402

Frequently Asked Questions on GCF of 13400 and 13402

1. What is the GCF of 13400 and 13402?

Answer: GCF of 13400 and 13402 is 2.

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 13402?

Answer: Factors of 13402 are 1, 2, 6701, 13402. There are 4 integers that are factors of 13402. The greatest factor of 13402 is 13402.

4. How to Find the GCF of 13400 and 13402?

Answer:

Greatest Common Factor of 13400 and 13402 = 2

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 13402

13402 = 2 x 6701

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

GCF = 2

Step 4: Therefore, the greatest common factor of 13400 and 13402 is 2