Greatest Common Factor of 21494 and 21500

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 21494, 21500 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 21494 and 21500 is 2.

GCF(21494,21500) = 2

GCF of 21494 and 21500

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

GCF of:
and

Greatest Common Factor of 21494 and 21500

GCF of 21494 and 21500 is 2

Prime Factorization of 21494


2 21494
11 10747
977 977
1

Prime factors of 21494 are 2,11,977. Prime factorization of 21494 in exponential form is:

21494 = 21×111×9771

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

∴ So by taking common prime factors GCF of 21494 and 21500 is 2

Greatest Common Factor of 21494 and 21500 by matching factors method

Factors of 21494

List of positive integer factors of 21494 that divides 21494 without a remainder.

1,2,11,22,977,1954,10747,21494

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

Greatest Common Factor

We found the factors and prime factorization of 21494 and 21500. The biggest common factor number is the GCF number.
So the greatest common factor 21494 and 21500 is 2.

Also check out the Least Common Multiple of 21494 and 21500

Properties of GCF 21494 and 21500

(i) The GCF of 21494 and 21500 is associative

GCF of 21494 and 21500 = GCF of 21500 and 21494

Related Greatest Common Factor of 21494

Related Greatest Common Factor of 21500

Frequently Asked Questions on GCF of 21494 and 21500

1. What is the GCF of 21494 and 21500?

Answer: GCF of 21494 and 21500 is 2.

2. What are the Factors of 21494?

Answer: Factors of 21494 are 1, 2, 11, 22, 977, 1954, 10747, 21494. There are 8 integers that are factors of 21494. The greatest factor of 21494 is 21494.

3. 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.

4. How to Find the GCF of 21494 and 21500?

Answer:

Greatest Common Factor of 21494 and 21500 = 2

Step 1: Find the prime factorization of 21494

21494 = 2 x 11 x 977

Step 2: Find the prime factorization of 21500

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

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 21494 and 21500 is 2