Greatest Common Factor of 1239 and 1246

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, 1246 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1239 and 1246 is 7.

GCF(1239,1246) = 7

GCF of 1239 and 1246

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

GCF of:
and

Greatest Common Factor of 1239 and 1246

GCF of 1239 and 1246 is 7

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 1246


2 1246
7 623
89 89
1

Prime factors of 1246 are 2,7,89. Prime factorization of 1246 in exponential form is:

1246 = 21×71×891

∴ So by taking common prime factors GCF of 1239 and 1246 is 7

Greatest Common Factor of 1239 and 1246 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 1246

List of positive integer factors of 1246 that divides 1246 without a remainder.

1,2,7,14,89,178,623,1246

Greatest Common Factor

We found the factors and prime factorization of 1239 and 1246. The biggest common factor number is the GCF number.
So the greatest common factor 1239 and 1246 is 7.

Also check out the Least Common Multiple of 1239 and 1246

Properties of GCF 1239 and 1246

(i) The GCF of 1239 and 1246 is associative

GCF of 1239 and 1246 = GCF of 1246 and 1239

Related Greatest Common Factor of 1239

Related Greatest Common Factor of 1246

Frequently Asked Questions on GCF of 1239 and 1246

1. What is the GCF of 1239 and 1246?

Answer: GCF of 1239 and 1246 is 7.

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 1246?

Answer: Factors of 1246 are 1, 2, 7, 14, 89, 178, 623, 1246. There are 8 integers that are factors of 1246. The greatest factor of 1246 is 1246.

4. How to Find the GCF of 1239 and 1246?

Answer:

Greatest Common Factor of 1239 and 1246 = 7

Step 1: Find the prime factorization of 1239

1239 = 3 x 7 x 59

Step 2: Find the prime factorization of 1246

1246 = 2 x 7 x 89

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 1239 and 1246 is 7