Greatest Common Factor of 21487 and 21489

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 21487, 21489 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 21487 and 21489 is 1.

GCF(21487,21489) = 1

GCF of 21487 and 21489

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

GCF of:
and

Greatest Common Factor of 21487 and 21489

GCF of 21487 and 21489 is 1

Prime Factorization of 21487


21487 21487
1

Prime factors of 21487 are 21487. Prime factorization of 21487 in exponential form is:

21487 = 214871

Prime Factorization of 21489


3 21489
13 7163
19 551
29 29
1

Prime factors of 21489 are 3.Prime factorization of 21489 in exponential form is:

21489 = 31×131×191×291

∴ So by taking common prime factors GCF of 21487 and 21489 is 1

Greatest Common Factor of 21487 and 21489 by matching factors method

Factors of 21487

List of positive integer factors of 21487 that divides 21487 without a remainder.

1,21487

Factors of 21489

List of positive integer factors of 21489 that divides 21489 without a remainder.

1,3,13,19,29,39,57,87,247,377,551,741,1131,1653,7163,21489

Greatest Common Factor

We found the factors and prime factorization of 21487 and 21489. The biggest common factor number is the GCF number.
So the greatest common factor 21487 and 21489 is 1.

Also check out the Least Common Multiple of 21487 and 21489

Properties of GCF 21487 and 21489

(i) The GCF of 21487 and 21489 is associative

GCF of 21487 and 21489 = GCF of 21489 and 21487

Related Greatest Common Factor of 21487

Related Greatest Common Factor of 21489

Frequently Asked Questions on GCF of 21487 and 21489

1. What is the GCF of 21487 and 21489?

Answer: GCF of 21487 and 21489 is 1.

2. What are the Factors of 21487?

Answer: Factors of 21487 are 1, 21487. There are 2 integers that are factors of 21487. The greatest factor of 21487 is 21487.

3. What are the Factors of 21489?

Answer: Factors of 21489 are 1, 3, 13, 19, 29, 39, 57, 87, 247, 377, 551, 741, 1131, 1653, 7163, 21489. There are 16 integers that are factors of 21489. The greatest factor of 21489 is 21489.

4. How to Find the GCF of 21487 and 21489?

Answer:

Greatest Common Factor of 21487 and 21489 = 1

Step 1: Find the prime factorization of 21487

21487 = 21487

Step 2: Find the prime factorization of 21489

21489 = 3 x 13 x 19 x 29

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 21487 and 21489 is 1