Greatest Common Factor of 21500 and 21506

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 21500, 21506 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 21500 and 21506 is 2.

GCF(21500,21506) = 2

GCF of 21500 and 21506

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

GCF of:
and

Greatest Common Factor of 21500 and 21506

GCF of 21500 and 21506 is 2

Prime Factorization of 21500


2 21500
2 10750
5 5375
5 1075
5 215
43 43
1

Prime factors of 21500 are 2,5,43. Prime factorization of 21500 in exponential form is:

21500 = 22×53×431

Prime Factorization of 21506


2 21506
10753 10753
1

Prime factors of 21506 are 2,10753. Prime factorization of 21506 in exponential form is:

21506 = 21×107531

∴ So by taking common prime factors GCF of 21500 and 21506 is 2

Greatest Common Factor of 21500 and 21506 by matching factors method

Factors of 21500

List of positive integer factors of 21500 that divides 21500 without a remainder.

1,2,4,5,10,20,25,43,50,86,100,125,172,215,250,430,500,860,1075,2150,4300,5375,10750,21500

Factors of 21506

List of positive integer factors of 21506 that divides 21506 without a remainder.

1,2,10753,21506

Greatest Common Factor

We found the factors and prime factorization of 21500 and 21506. The biggest common factor number is the GCF number.
So the greatest common factor 21500 and 21506 is 2.

Also check out the Least Common Multiple of 21500 and 21506

Properties of GCF 21500 and 21506

(i) The GCF of 21500 and 21506 is associative

GCF of 21500 and 21506 = GCF of 21506 and 21500

Related Greatest Common Factor of 21500

Related Greatest Common Factor of 21506

Frequently Asked Questions on GCF of 21500 and 21506

1. What is the GCF of 21500 and 21506?

Answer: GCF of 21500 and 21506 is 2.

2. What are the Factors of 21500?

Answer: Factors of 21500 are 1, 2, 4, 5, 10, 20, 25, 43, 50, 86, 100, 125, 172, 215, 250, 430, 500, 860, 1075, 2150, 4300, 5375, 10750, 21500. There are 24 integers that are factors of 21500. The greatest factor of 21500 is 21500.

3. What are the Factors of 21506?

Answer: Factors of 21506 are 1, 2, 10753, 21506. There are 4 integers that are factors of 21506. The greatest factor of 21506 is 21506.

4. How to Find the GCF of 21500 and 21506?

Answer:

Greatest Common Factor of 21500 and 21506 = 2

Step 1: Find the prime factorization of 21500

21500 = 2 x 2 x 5 x 5 x 5 x 43

Step 2: Find the prime factorization of 21506

21506 = 2 x 10753

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

GCF = 2

Step 4: Therefore, the greatest common factor of 21500 and 21506 is 2