Greatest Common Factor of 21468 and 21474

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 21468, 21474 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 21468 and 21474 is 6.

GCF(21468,21474) = 6

GCF of 21468 and 21474

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

GCF of:
and

Greatest Common Factor of 21468 and 21474

GCF of 21468 and 21474 is 6

Prime Factorization of 21468


2 21468
2 10734
3 5367
1789 1789
1

Prime factors of 21468 are 2,3,1789. Prime factorization of 21468 in exponential form is:

21468 = 22×31×17891

Prime Factorization of 21474


2 21474
3 10737
3 3579
1193 1193
1

Prime factors of 21474 are 2,3,1193. Prime factorization of 21474 in exponential form is:

21474 = 21×32×11931

∴ So by taking common prime factors GCF of 21468 and 21474 is 6

Greatest Common Factor of 21468 and 21474 by matching factors method

Factors of 21468

List of positive integer factors of 21468 that divides 21468 without a remainder.

1,2,3,4,6,12,1789,3578,5367,7156,10734,21468

Factors of 21474

List of positive integer factors of 21474 that divides 21474 without a remainder.

1,2,3,6,9,18,1193,2386,3579,7158,10737,21474

Greatest Common Factor

We found the factors and prime factorization of 21468 and 21474. The biggest common factor number is the GCF number.
So the greatest common factor 21468 and 21474 is 6.

Also check out the Least Common Multiple of 21468 and 21474

Properties of GCF 21468 and 21474

(i) The GCF of 21468 and 21474 is associative

GCF of 21468 and 21474 = GCF of 21474 and 21468

Related Greatest Common Factor of 21468

Related Greatest Common Factor of 21474

Frequently Asked Questions on GCF of 21468 and 21474

1. What is the GCF of 21468 and 21474?

Answer: GCF of 21468 and 21474 is 6.

2. What are the Factors of 21468?

Answer: Factors of 21468 are 1, 2, 3, 4, 6, 12, 1789, 3578, 5367, 7156, 10734, 21468. There are 12 integers that are factors of 21468. The greatest factor of 21468 is 21468.

3. What are the Factors of 21474?

Answer: Factors of 21474 are 1, 2, 3, 6, 9, 18, 1193, 2386, 3579, 7158, 10737, 21474. There are 12 integers that are factors of 21474. The greatest factor of 21474 is 21474.

4. How to Find the GCF of 21468 and 21474?

Answer:

Greatest Common Factor of 21468 and 21474 = 6

Step 1: Find the prime factorization of 21468

21468 = 2 x 2 x 3 x 1789

Step 2: Find the prime factorization of 21474

21474 = 2 x 3 x 3 x 1193

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 21468 and 21474 is 6