Greatest Common Factor of 10221 and 10227

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 10221, 10227 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 10221 and 10227 is 3.

GCF(10221,10227) = 3

GCF of 10221 and 10227

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

GCF of:
and

Greatest Common Factor of 10221 and 10227

GCF of 10221 and 10227 is 3

Prime Factorization of 10221


3 10221
3407 3407
1

Prime factors of 10221 are 3,3407. Prime factorization of 10221 in exponential form is:

10221 = 31×34071

Prime Factorization of 10227


3 10227
7 3409
487 487
1

Prime factors of 10227 are 3,7,487. Prime factorization of 10227 in exponential form is:

10227 = 31×71×4871

∴ So by taking common prime factors GCF of 10221 and 10227 is 3

Greatest Common Factor of 10221 and 10227 by matching factors method

Factors of 10221

List of positive integer factors of 10221 that divides 10221 without a remainder.

1,3,3407,10221

Factors of 10227

List of positive integer factors of 10227 that divides 10227 without a remainder.

1,3,7,21,487,1461,3409,10227

Greatest Common Factor

We found the factors and prime factorization of 10221 and 10227. The biggest common factor number is the GCF number.
So the greatest common factor 10221 and 10227 is 3.

Also check out the Least Common Multiple of 10221 and 10227

Properties of GCF 10221 and 10227

(i) The GCF of 10221 and 10227 is associative

GCF of 10221 and 10227 = GCF of 10227 and 10221

Related Greatest Common Factor of 10221

Related Greatest Common Factor of 10227

Frequently Asked Questions on GCF of 10221 and 10227

1. What is the GCF of 10221 and 10227?

Answer: GCF of 10221 and 10227 is 3.

2. What are the Factors of 10221?

Answer: Factors of 10221 are 1, 3, 3407, 10221. There are 4 integers that are factors of 10221. The greatest factor of 10221 is 10221.

3. What are the Factors of 10227?

Answer: Factors of 10227 are 1, 3, 7, 21, 487, 1461, 3409, 10227. There are 8 integers that are factors of 10227. The greatest factor of 10227 is 10227.

4. How to Find the GCF of 10221 and 10227?

Answer:

Greatest Common Factor of 10221 and 10227 = 3

Step 1: Find the prime factorization of 10221

10221 = 3 x 3407

Step 2: Find the prime factorization of 10227

10227 = 3 x 7 x 487

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 10221 and 10227 is 3