Greatest Common Factor of 21493 and 21498

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 21493, 21498 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 21493 and 21498 is 1.

GCF(21493,21498) = 1

GCF of 21493 and 21498

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

GCF of:
and

Greatest Common Factor of 21493 and 21498

GCF of 21493 and 21498 is 1

Prime Factorization of 21493


21493 21493
1

Prime factors of 21493 are 21493. Prime factorization of 21493 in exponential form is:

21493 = 214931

Prime Factorization of 21498


2 21498
3 10749
3583 3583
1

Prime factors of 21498 are 2.Prime factorization of 21498 in exponential form is:

21498 = 21×31×35831

∴ So by taking common prime factors GCF of 21493 and 21498 is 1

Greatest Common Factor of 21493 and 21498 by matching factors method

Factors of 21493

List of positive integer factors of 21493 that divides 21493 without a remainder.

1,21493

Factors of 21498

List of positive integer factors of 21498 that divides 21498 without a remainder.

1,2,3,6,3583,7166,10749,21498

Greatest Common Factor

We found the factors and prime factorization of 21493 and 21498. The biggest common factor number is the GCF number.
So the greatest common factor 21493 and 21498 is 1.

Also check out the Least Common Multiple of 21493 and 21498

Properties of GCF 21493 and 21498

(i) The GCF of 21493 and 21498 is associative

GCF of 21493 and 21498 = GCF of 21498 and 21493

Related Greatest Common Factor of 21493

Related Greatest Common Factor of 21498

Frequently Asked Questions on GCF of 21493 and 21498

1. What is the GCF of 21493 and 21498?

Answer: GCF of 21493 and 21498 is 1.

2. What are the Factors of 21493?

Answer: Factors of 21493 are 1, 21493. There are 2 integers that are factors of 21493. The greatest factor of 21493 is 21493.

3. What are the Factors of 21498?

Answer: Factors of 21498 are 1, 2, 3, 6, 3583, 7166, 10749, 21498. There are 8 integers that are factors of 21498. The greatest factor of 21498 is 21498.

4. How to Find the GCF of 21493 and 21498?

Answer:

Greatest Common Factor of 21493 and 21498 = 1

Step 1: Find the prime factorization of 21493

21493 = 21493

Step 2: Find the prime factorization of 21498

21498 = 2 x 3 x 3583

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 21493 and 21498 is 1