Greatest Common Factor of 21486 and 21490

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 21486, 21490 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 21486 and 21490 is 2.

GCF(21486,21490) = 2

GCF of 21486 and 21490

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

GCF of:
and

Greatest Common Factor of 21486 and 21490

GCF of 21486 and 21490 is 2

Prime Factorization of 21486


2 21486
3 10743
3581 3581
1

Prime factors of 21486 are 2,3,3581. Prime factorization of 21486 in exponential form is:

21486 = 21×31×35811

Prime Factorization of 21490


2 21490
5 10745
7 2149
307 307
1

Prime factors of 21490 are 2,5,7,307. Prime factorization of 21490 in exponential form is:

21490 = 21×51×71×3071

∴ So by taking common prime factors GCF of 21486 and 21490 is 2

Greatest Common Factor of 21486 and 21490 by matching factors method

Factors of 21486

List of positive integer factors of 21486 that divides 21486 without a remainder.

1,2,3,6,3581,7162,10743,21486

Factors of 21490

List of positive integer factors of 21490 that divides 21490 without a remainder.

1,2,5,7,10,14,35,70,307,614,1535,2149,3070,4298,10745,21490

Greatest Common Factor

We found the factors and prime factorization of 21486 and 21490. The biggest common factor number is the GCF number.
So the greatest common factor 21486 and 21490 is 2.

Also check out the Least Common Multiple of 21486 and 21490

Properties of GCF 21486 and 21490

(i) The GCF of 21486 and 21490 is associative

GCF of 21486 and 21490 = GCF of 21490 and 21486

Related Greatest Common Factor of 21486

Related Greatest Common Factor of 21490

Frequently Asked Questions on GCF of 21486 and 21490

1. What is the GCF of 21486 and 21490?

Answer: GCF of 21486 and 21490 is 2.

2. What are the Factors of 21486?

Answer: Factors of 21486 are 1, 2, 3, 6, 3581, 7162, 10743, 21486. There are 8 integers that are factors of 21486. The greatest factor of 21486 is 21486.

3. What are the Factors of 21490?

Answer: Factors of 21490 are 1, 2, 5, 7, 10, 14, 35, 70, 307, 614, 1535, 2149, 3070, 4298, 10745, 21490. There are 16 integers that are factors of 21490. The greatest factor of 21490 is 21490.

4. How to Find the GCF of 21486 and 21490?

Answer:

Greatest Common Factor of 21486 and 21490 = 2

Step 1: Find the prime factorization of 21486

21486 = 2 x 3 x 3581

Step 2: Find the prime factorization of 21490

21490 = 2 x 5 x 7 x 307

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 21486 and 21490 is 2