Greatest Common Factor of 1239 and 1245

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 1239, 1245 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1239 and 1245 is 3.

GCF(1239,1245) = 3

GCF of 1239 and 1245

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

GCF of:
and

Greatest Common Factor of 1239 and 1245

GCF of 1239 and 1245 is 3

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

Prime Factorization of 1245


3 1245
5 415
83 83
1

Prime factors of 1245 are 3,5,83. Prime factorization of 1245 in exponential form is:

1245 = 31×51×831

∴ So by taking common prime factors GCF of 1239 and 1245 is 3

Greatest Common Factor of 1239 and 1245 by matching factors method

Factors of 1239

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

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

Factors of 1245

List of positive integer factors of 1245 that divides 1245 without a remainder.

1,3,5,15,83,249,415,1245

Greatest Common Factor

We found the factors and prime factorization of 1239 and 1245. The biggest common factor number is the GCF number.
So the greatest common factor 1239 and 1245 is 3.

Also check out the Least Common Multiple of 1239 and 1245

Properties of GCF 1239 and 1245

(i) The GCF of 1239 and 1245 is associative

GCF of 1239 and 1245 = GCF of 1245 and 1239

Related Greatest Common Factor of 1239

Related Greatest Common Factor of 1245

Frequently Asked Questions on GCF of 1239 and 1245

1. What is the GCF of 1239 and 1245?

Answer: GCF of 1239 and 1245 is 3.

2. 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.

3. What are the Factors of 1245?

Answer: Factors of 1245 are 1, 3, 5, 15, 83, 249, 415, 1245. There are 8 integers that are factors of 1245. The greatest factor of 1245 is 1245.

4. How to Find the GCF of 1239 and 1245?

Answer:

Greatest Common Factor of 1239 and 1245 = 3

Step 1: Find the prime factorization of 1239

1239 = 3 x 7 x 59

Step 2: Find the prime factorization of 1245

1245 = 3 x 5 x 83

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 1239 and 1245 is 3