Greatest Common Factor of 13332 and 13336

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 13332, 13336 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 13332 and 13336 is 4.

GCF(13332,13336) = 4

GCF of 13332 and 13336

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

GCF of:
and

Greatest Common Factor of 13332 and 13336

GCF of 13332 and 13336 is 4

Prime Factorization of 13332


2 13332
2 6666
3 3333
11 1111
101 101
1

Prime factors of 13332 are 2,3,11,101. Prime factorization of 13332 in exponential form is:

13332 = 22×31×111×1011

Prime Factorization of 13336


2 13336
2 6668
2 3334
1667 1667
1

Prime factors of 13336 are 2,1667. Prime factorization of 13336 in exponential form is:

13336 = 23×16671

∴ So by taking common prime factors GCF of 13332 and 13336 is 4

Greatest Common Factor of 13332 and 13336 by matching factors method

Factors of 13332

List of positive integer factors of 13332 that divides 13332 without a remainder.

1,2,3,4,6,11,12,22,33,44,66,101,132,202,303,404,606,1111,1212,2222,3333,4444,6666,13332

Factors of 13336

List of positive integer factors of 13336 that divides 13336 without a remainder.

1,2,4,8,1667,3334,6668,13336

Greatest Common Factor

We found the factors and prime factorization of 13332 and 13336. The biggest common factor number is the GCF number.
So the greatest common factor 13332 and 13336 is 4.

Also check out the Least Common Multiple of 13332 and 13336

Properties of GCF 13332 and 13336

(i) The GCF of 13332 and 13336 is associative

GCF of 13332 and 13336 = GCF of 13336 and 13332

Related Greatest Common Factor of 13332

Related Greatest Common Factor of 13336

Frequently Asked Questions on GCF of 13332 and 13336

1. What is the GCF of 13332 and 13336?

Answer: GCF of 13332 and 13336 is 4.

2. What are the Factors of 13332?

Answer: Factors of 13332 are 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 101, 132, 202, 303, 404, 606, 1111, 1212, 2222, 3333, 4444, 6666, 13332. There are 24 integers that are factors of 13332. The greatest factor of 13332 is 13332.

3. What are the Factors of 13336?

Answer: Factors of 13336 are 1, 2, 4, 8, 1667, 3334, 6668, 13336. There are 8 integers that are factors of 13336. The greatest factor of 13336 is 13336.

4. How to Find the GCF of 13332 and 13336?

Answer:

Greatest Common Factor of 13332 and 13336 = 4

Step 1: Find the prime factorization of 13332

13332 = 2 x 2 x 3 x 11 x 101

Step 2: Find the prime factorization of 13336

13336 = 2 x 2 x 2 x 1667

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 13332 and 13336 is 4