Greatest Common Factor of 12414 and 12420

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, 12420 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 12414 and 12420 is 6.

GCF(12414,12420) = 6

GCF of 12414 and 12420

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

GCF of:
and

Greatest Common Factor of 12414 and 12420

GCF of 12414 and 12420 is 6

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 12420


2 12420
2 6210
3 3105
3 1035
3 345
5 115
23 23
1

Prime factors of 12420 are 2,3,5,23. Prime factorization of 12420 in exponential form is:

12420 = 22×33×51×231

∴ So by taking common prime factors GCF of 12414 and 12420 is 6

Greatest Common Factor of 12414 and 12420 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 12420

List of positive integer factors of 12420 that divides 12420 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,23,27,30,36,45,46,54,60,69,90,92,108,115,135,138,180,207,230,270,276,345,414,460,540,621,690,828,1035,1242,1380,2070,2484,3105,4140,6210,12420

Greatest Common Factor

We found the factors and prime factorization of 12414 and 12420. The biggest common factor number is the GCF number.
So the greatest common factor 12414 and 12420 is 6.

Also check out the Least Common Multiple of 12414 and 12420

Properties of GCF 12414 and 12420

(i) The GCF of 12414 and 12420 is associative

GCF of 12414 and 12420 = GCF of 12420 and 12414

Related Greatest Common Factor of 12414

Related Greatest Common Factor of 12420

Frequently Asked Questions on GCF of 12414 and 12420

1. What is the GCF of 12414 and 12420?

Answer: GCF of 12414 and 12420 is 6.

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 12420?

Answer: Factors of 12420 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 23, 27, 30, 36, 45, 46, 54, 60, 69, 90, 92, 108, 115, 135, 138, 180, 207, 230, 270, 276, 345, 414, 460, 540, 621, 690, 828, 1035, 1242, 1380, 2070, 2484, 3105, 4140, 6210, 12420. There are 48 integers that are factors of 12420. The greatest factor of 12420 is 12420.

4. How to Find the GCF of 12414 and 12420?

Answer:

Greatest Common Factor of 12414 and 12420 = 6

Step 1: Find the prime factorization of 12414

12414 = 2 x 3 x 2069

Step 2: Find the prime factorization of 12420

12420 = 2 x 2 x 3 x 3 x 3 x 5 x 23

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

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 12414 and 12420 is 6