Greatest Common Factor of 13350 and 13356

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 13350, 13356 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 13350 and 13356 is 6.

GCF(13350,13356) = 6

GCF of 13350 and 13356

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

GCF of:
and

Greatest Common Factor of 13350 and 13356

GCF of 13350 and 13356 is 6

Prime Factorization of 13350


2 13350
3 6675
5 2225
5 445
89 89
1

Prime factors of 13350 are 2,3,5,89. Prime factorization of 13350 in exponential form is:

13350 = 21×31×52×891

Prime Factorization of 13356


2 13356
2 6678
3 3339
3 1113
7 371
53 53
1

Prime factors of 13356 are 2,3,7,53. Prime factorization of 13356 in exponential form is:

13356 = 22×32×71×531

∴ So by taking common prime factors GCF of 13350 and 13356 is 6

Greatest Common Factor of 13350 and 13356 by matching factors method

Factors of 13350

List of positive integer factors of 13350 that divides 13350 without a remainder.

1,2,3,5,6,10,15,25,30,50,75,89,150,178,267,445,534,890,1335,2225,2670,4450,6675,13350

Factors of 13356

List of positive integer factors of 13356 that divides 13356 without a remainder.

1,2,3,4,6,7,9,12,14,18,21,28,36,42,53,63,84,106,126,159,212,252,318,371,477,636,742,954,1113,1484,1908,2226,3339,4452,6678,13356

Greatest Common Factor

We found the factors and prime factorization of 13350 and 13356. The biggest common factor number is the GCF number.
So the greatest common factor 13350 and 13356 is 6.

Also check out the Least Common Multiple of 13350 and 13356

Properties of GCF 13350 and 13356

(i) The GCF of 13350 and 13356 is associative

GCF of 13350 and 13356 = GCF of 13356 and 13350

Related Greatest Common Factor of 13350

Related Greatest Common Factor of 13356

Frequently Asked Questions on GCF of 13350 and 13356

1. What is the GCF of 13350 and 13356?

Answer: GCF of 13350 and 13356 is 6.

2. What are the Factors of 13350?

Answer: Factors of 13350 are 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 89, 150, 178, 267, 445, 534, 890, 1335, 2225, 2670, 4450, 6675, 13350. There are 24 integers that are factors of 13350. The greatest factor of 13350 is 13350.

3. What are the Factors of 13356?

Answer: Factors of 13356 are 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 53, 63, 84, 106, 126, 159, 212, 252, 318, 371, 477, 636, 742, 954, 1113, 1484, 1908, 2226, 3339, 4452, 6678, 13356. There are 36 integers that are factors of 13356. The greatest factor of 13356 is 13356.

4. How to Find the GCF of 13350 and 13356?

Answer:

Greatest Common Factor of 13350 and 13356 = 6

Step 1: Find the prime factorization of 13350

13350 = 2 x 3 x 5 x 5 x 89

Step 2: Find the prime factorization of 13356

13356 = 2 x 2 x 3 x 3 x 7 x 53

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

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 13350 and 13356 is 6