Greatest Common Factor of 12414 and 12418

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 12414, 12418 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 12414 and 12418 is 2.

GCF(12414,12418) = 2

GCF of 12414 and 12418

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

GCF of:
and

Greatest Common Factor of 12414 and 12418

GCF of 12414 and 12418 is 2

Prime Factorization of 12414


2 12414
3 6207
2069 2069
1

Prime factors of 12414 are 2,3,2069. Prime factorization of 12414 in exponential form is:

12414 = 21×31×20691

Prime Factorization of 12418


2 12418
7 6209
887 887
1

Prime factors of 12418 are 2,7,887. Prime factorization of 12418 in exponential form is:

12418 = 21×71×8871

∴ So by taking common prime factors GCF of 12414 and 12418 is 2

Greatest Common Factor of 12414 and 12418 by matching factors method

Factors of 12414

List of positive integer factors of 12414 that divides 12414 without a remainder.

1,2,3,6,2069,4138,6207,12414

Factors of 12418

List of positive integer factors of 12418 that divides 12418 without a remainder.

1,2,7,14,887,1774,6209,12418

Greatest Common Factor

We found the factors and prime factorization of 12414 and 12418. The biggest common factor number is the GCF number.
So the greatest common factor 12414 and 12418 is 2.

Also check out the Least Common Multiple of 12414 and 12418

Properties of GCF 12414 and 12418

(i) The GCF of 12414 and 12418 is associative

GCF of 12414 and 12418 = GCF of 12418 and 12414

Related Greatest Common Factor of 12414

Related Greatest Common Factor of 12418

Frequently Asked Questions on GCF of 12414 and 12418

1. What is the GCF of 12414 and 12418?

Answer: GCF of 12414 and 12418 is 2.

2. What are the Factors of 12414?

Answer: Factors of 12414 are 1, 2, 3, 6, 2069, 4138, 6207, 12414. There are 8 integers that are factors of 12414. The greatest factor of 12414 is 12414.

3. What are the Factors of 12418?

Answer: Factors of 12418 are 1, 2, 7, 14, 887, 1774, 6209, 12418. There are 8 integers that are factors of 12418. The greatest factor of 12418 is 12418.

4. How to Find the GCF of 12414 and 12418?

Answer:

Greatest Common Factor of 12414 and 12418 = 2

Step 1: Find the prime factorization of 12414

12414 = 2 x 3 x 2069

Step 2: Find the prime factorization of 12418

12418 = 2 x 7 x 887

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

GCF = 2

Step 4: Therefore, the greatest common factor of 12414 and 12418 is 2