Greatest Common Factor of 1233 and 1239

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 1233, 1239 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1233 and 1239 is 3.

GCF(1233,1239) = 3

GCF of 1233 and 1239

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

GCF of:
and

Greatest Common Factor of 1233 and 1239

GCF of 1233 and 1239 is 3

Prime Factorization of 1233


3 1233
3 411
137 137
1

Prime factors of 1233 are 3,137. Prime factorization of 1233 in exponential form is:

1233 = 32×1371

Prime Factorization of 1239


3 1239
7 413
59 59
1

Prime factors of 1239 are 3,7,59. Prime factorization of 1239 in exponential form is:

1239 = 31×71×591

∴ So by taking common prime factors GCF of 1233 and 1239 is 3

Greatest Common Factor of 1233 and 1239 by matching factors method

Factors of 1233

List of positive integer factors of 1233 that divides 1233 without a remainder.

1,3,9,137,411,1233

Factors of 1239

List of positive integer factors of 1239 that divides 1239 without a remainder.

1,3,7,21,59,177,413,1239

Greatest Common Factor

We found the factors and prime factorization of 1233 and 1239. The biggest common factor number is the GCF number.
So the greatest common factor 1233 and 1239 is 3.

Also check out the Least Common Multiple of 1233 and 1239

Properties of GCF 1233 and 1239

(i) The GCF of 1233 and 1239 is associative

GCF of 1233 and 1239 = GCF of 1239 and 1233

Related Greatest Common Factor of 1233

Related Greatest Common Factor of 1239

Frequently Asked Questions on GCF of 1233 and 1239

1. What is the GCF of 1233 and 1239?

Answer: GCF of 1233 and 1239 is 3.

2. What are the Factors of 1233?

Answer: Factors of 1233 are 1, 3, 9, 137, 411, 1233. There are 6 integers that are factors of 1233. The greatest factor of 1233 is 1233.

3. What are the Factors of 1239?

Answer: Factors of 1239 are 1, 3, 7, 21, 59, 177, 413, 1239. There are 8 integers that are factors of 1239. The greatest factor of 1239 is 1239.

4. How to Find the GCF of 1233 and 1239?

Answer:

Greatest Common Factor of 1233 and 1239 = 3

Step 1: Find the prime factorization of 1233

1233 = 3 x 3 x 137

Step 2: Find the prime factorization of 1239

1239 = 3 x 7 x 59

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 1233 and 1239 is 3