Greatest Common Factor of 21468 and 21473

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, 21473 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 21468 and 21473 is 1.

GCF(21468,21473) = 1

GCF of 21468 and 21473

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

GCF of:
and

Greatest Common Factor of 21468 and 21473

GCF of 21468 and 21473 is 1

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 21473


109 21473
197 197
1

Prime factors of 21473 are 109,197. Prime factorization of 21473 in exponential form is:

21473 = 1091×1971

∴ So by taking common prime factors GCF of 21468 and 21473 is 1

Greatest Common Factor of 21468 and 21473 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 21473

List of positive integer factors of 21473 that divides 21473 without a remainder.

1,109,197,21473

Greatest Common Factor

We found the factors and prime factorization of 21468 and 21473. The biggest common factor number is the GCF number.
So the greatest common factor 21468 and 21473 is 1.

Also check out the Least Common Multiple of 21468 and 21473

Properties of GCF 21468 and 21473

(i) The GCF of 21468 and 21473 is associative

GCF of 21468 and 21473 = GCF of 21473 and 21468

Frequently Asked Questions on GCF of 21468 and 21473

1. What is the GCF of 21468 and 21473?

Answer: GCF of 21468 and 21473 is 1.

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 21473?

Answer: Factors of 21473 are 1, 109, 197, 21473. There are 4 integers that are factors of 21473. The greatest factor of 21473 is 21473.

4. How to Find the GCF of 21468 and 21473?

Answer:

Greatest Common Factor of 21468 and 21473 = 1

Step 1: Find the prime factorization of 21468

21468 = 2 x 2 x 3 x 1789

Step 2: Find the prime factorization of 21473

21473 = 109 x 197

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 21468 and 21473 is 1