Greatest Common Factor of 21747 and 21753

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 21747, 21753 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 21747 and 21753 is 3.

GCF(21747,21753) = 3

GCF of 21747 and 21753

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

GCF of:
and

Greatest Common Factor of 21747 and 21753

GCF of 21747 and 21753 is 3

Prime Factorization of 21747


3 21747
11 7249
659 659
1

Prime factors of 21747 are 3,11,659. Prime factorization of 21747 in exponential form is:

21747 = 31×111×6591

Prime Factorization of 21753


3 21753
3 7251
2417 2417
1

Prime factors of 21753 are 3,2417. Prime factorization of 21753 in exponential form is:

21753 = 32×24171

∴ So by taking common prime factors GCF of 21747 and 21753 is 3

Greatest Common Factor of 21747 and 21753 by matching factors method

Factors of 21747

List of positive integer factors of 21747 that divides 21747 without a remainder.

1,3,11,33,659,1977,7249,21747

Factors of 21753

List of positive integer factors of 21753 that divides 21753 without a remainder.

1,3,9,2417,7251,21753

Greatest Common Factor

We found the factors and prime factorization of 21747 and 21753. The biggest common factor number is the GCF number.
So the greatest common factor 21747 and 21753 is 3.

Also check out the Least Common Multiple of 21747 and 21753

Properties of GCF 21747 and 21753

(i) The GCF of 21747 and 21753 is associative

GCF of 21747 and 21753 = GCF of 21753 and 21747

Related Greatest Common Factor of 21747

Related Greatest Common Factor of 21753

Frequently Asked Questions on GCF of 21747 and 21753

1. What is the GCF of 21747 and 21753?

Answer: GCF of 21747 and 21753 is 3.

2. What are the Factors of 21747?

Answer: Factors of 21747 are 1, 3, 11, 33, 659, 1977, 7249, 21747. There are 8 integers that are factors of 21747. The greatest factor of 21747 is 21747.

3. What are the Factors of 21753?

Answer: Factors of 21753 are 1, 3, 9, 2417, 7251, 21753. There are 6 integers that are factors of 21753. The greatest factor of 21753 is 21753.

4. How to Find the GCF of 21747 and 21753?

Answer:

Greatest Common Factor of 21747 and 21753 = 3

Step 1: Find the prime factorization of 21747

21747 = 3 x 11 x 659

Step 2: Find the prime factorization of 21753

21753 = 3 x 3 x 2417

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

GCF = 3

Step 4: Therefore, the greatest common factor of 21747 and 21753 is 3