Greatest Common Factor of 21461 and 21468

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 21461, 21468 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 21461 and 21468 is 1.

GCF(21461,21468) = 1

GCF of 21461 and 21468

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

GCF of:
and

Greatest Common Factor of 21461 and 21468

GCF of 21461 and 21468 is 1

Prime Factorization of 21461


11 21461
1951 1951
1

Prime factors of 21461 are 11,1951. Prime factorization of 21461 in exponential form is:

21461 = 111×19511

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

∴ So by taking common prime factors GCF of 21461 and 21468 is 1

Greatest Common Factor of 21461 and 21468 by matching factors method

Factors of 21461

List of positive integer factors of 21461 that divides 21461 without a remainder.

1,11,1951,21461

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

Greatest Common Factor

We found the factors and prime factorization of 21461 and 21468. The biggest common factor number is the GCF number.
So the greatest common factor 21461 and 21468 is 1.

Also check out the Least Common Multiple of 21461 and 21468

Properties of GCF 21461 and 21468

(i) The GCF of 21461 and 21468 is associative

GCF of 21461 and 21468 = GCF of 21468 and 21461

Related Greatest Common Factor of 21461

Related Greatest Common Factor of 21468

Frequently Asked Questions on GCF of 21461 and 21468

1. What is the GCF of 21461 and 21468?

Answer: GCF of 21461 and 21468 is 1.

2. What are the Factors of 21461?

Answer: Factors of 21461 are 1, 11, 1951, 21461. There are 4 integers that are factors of 21461. The greatest factor of 21461 is 21461.

3. 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.

4. How to Find the GCF of 21461 and 21468?

Answer:

Greatest Common Factor of 21461 and 21468 = 1

Step 1: Find the prime factorization of 21461

21461 = 11 x 1951

Step 2: Find the prime factorization of 21468

21468 = 2 x 2 x 3 x 1789

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 21461 and 21468 is 1