Greatest Common Factor of 13236 and 13239

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 13236, 13239 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 13236 and 13239 is 3.

GCF(13236,13239) = 3

GCF of 13236 and 13239

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

GCF of:
and

Greatest Common Factor of 13236 and 13239

GCF of 13236 and 13239 is 3

Prime Factorization of 13236


2 13236
2 6618
3 3309
1103 1103
1

Prime factors of 13236 are 2,3,1103. Prime factorization of 13236 in exponential form is:

13236 = 22×31×11031

Prime Factorization of 13239


3 13239
3 4413
1471 1471
1

Prime factors of 13239 are 3,1471. Prime factorization of 13239 in exponential form is:

13239 = 32×14711

∴ So by taking common prime factors GCF of 13236 and 13239 is 3

Greatest Common Factor of 13236 and 13239 by matching factors method

Factors of 13236

List of positive integer factors of 13236 that divides 13236 without a remainder.

1,2,3,4,6,12,1103,2206,3309,4412,6618,13236

Factors of 13239

List of positive integer factors of 13239 that divides 13239 without a remainder.

1,3,9,1471,4413,13239

Greatest Common Factor

We found the factors and prime factorization of 13236 and 13239. The biggest common factor number is the GCF number.
So the greatest common factor 13236 and 13239 is 3.

Also check out the Least Common Multiple of 13236 and 13239

Properties of GCF 13236 and 13239

(i) The GCF of 13236 and 13239 is associative

GCF of 13236 and 13239 = GCF of 13239 and 13236

Related Greatest Common Factor of 13236

Related Greatest Common Factor of 13239

Frequently Asked Questions on GCF of 13236 and 13239

1. What is the GCF of 13236 and 13239?

Answer: GCF of 13236 and 13239 is 3.

2. What are the Factors of 13236?

Answer: Factors of 13236 are 1, 2, 3, 4, 6, 12, 1103, 2206, 3309, 4412, 6618, 13236. There are 12 integers that are factors of 13236. The greatest factor of 13236 is 13236.

3. What are the Factors of 13239?

Answer: Factors of 13239 are 1, 3, 9, 1471, 4413, 13239. There are 6 integers that are factors of 13239. The greatest factor of 13239 is 13239.

4. How to Find the GCF of 13236 and 13239?

Answer:

Greatest Common Factor of 13236 and 13239 = 3

Step 1: Find the prime factorization of 13236

13236 = 2 x 2 x 3 x 1103

Step 2: Find the prime factorization of 13239

13239 = 3 x 3 x 1471

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

GCF = 3

Step 4: Therefore, the greatest common factor of 13236 and 13239 is 3