Greatest Common Factor of 1232 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 1232, 1239 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1232 and 1239 is 7.

GCF(1232,1239) = 7

GCF of 1232 and 1239

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

GCF of:
and

Greatest Common Factor of 1232 and 1239

GCF of 1232 and 1239 is 7

Prime Factorization of 1232


2 1232
2 616
2 308
2 154
7 77
11 11
1

Prime factors of 1232 are 2,7,11. Prime factorization of 1232 in exponential form is:

1232 = 24×71×111

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 1232 and 1239 is 7

Greatest Common Factor of 1232 and 1239 by matching factors method

Factors of 1232

List of positive integer factors of 1232 that divides 1232 without a remainder.

1,2,4,7,8,11,14,16,22,28,44,56,77,88,112,154,176,308,616,1232

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 1232 and 1239. The biggest common factor number is the GCF number.
So the greatest common factor 1232 and 1239 is 7.

Also check out the Least Common Multiple of 1232 and 1239

Properties of GCF 1232 and 1239

(i) The GCF of 1232 and 1239 is associative

GCF of 1232 and 1239 = GCF of 1239 and 1232

Related Greatest Common Factor of 1232

Related Greatest Common Factor of 1239

Frequently Asked Questions on GCF of 1232 and 1239

1. What is the GCF of 1232 and 1239?

Answer: GCF of 1232 and 1239 is 7.

2. What are the Factors of 1232?

Answer: Factors of 1232 are 1, 2, 4, 7, 8, 11, 14, 16, 22, 28, 44, 56, 77, 88, 112, 154, 176, 308, 616, 1232. There are 20 integers that are factors of 1232. The greatest factor of 1232 is 1232.

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 1232 and 1239?

Answer:

Greatest Common Factor of 1232 and 1239 = 7

Step 1: Find the prime factorization of 1232

1232 = 2 x 2 x 2 x 2 x 7 x 11

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 = 7

Step 4: Therefore, the greatest common factor of 1232 and 1239 is 7