Greatest Common Factor of 9621 and 9627

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 9621, 9627 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9621 and 9627 is 3.

GCF(9621,9627) = 3

GCF of 9621 and 9627

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

GCF of:
and

Greatest Common Factor of 9621 and 9627

GCF of 9621 and 9627 is 3

Prime Factorization of 9621


3 9621
3 3207
1069 1069
1

Prime factors of 9621 are 3,1069. Prime factorization of 9621 in exponential form is:

9621 = 32×10691

Prime Factorization of 9627


3 9627
3209 3209
1

Prime factors of 9627 are 3,3209. Prime factorization of 9627 in exponential form is:

9627 = 31×32091

∴ So by taking common prime factors GCF of 9621 and 9627 is 3

Greatest Common Factor of 9621 and 9627 by matching factors method

Factors of 9621

List of positive integer factors of 9621 that divides 9621 without a remainder.

1,3,9,1069,3207,9621

Factors of 9627

List of positive integer factors of 9627 that divides 9627 without a remainder.

1,3,3209,9627

Greatest Common Factor

We found the factors and prime factorization of 9621 and 9627. The biggest common factor number is the GCF number.
So the greatest common factor 9621 and 9627 is 3.

Also check out the Least Common Multiple of 9621 and 9627

Properties of GCF 9621 and 9627

(i) The GCF of 9621 and 9627 is associative

GCF of 9621 and 9627 = GCF of 9627 and 9621

Related Greatest Common Factor of 9621

Related Greatest Common Factor of 9627

Frequently Asked Questions on GCF of 9621 and 9627

1. What is the GCF of 9621 and 9627?

Answer: GCF of 9621 and 9627 is 3.

2. What are the Factors of 9621?

Answer: Factors of 9621 are 1, 3, 9, 1069, 3207, 9621. There are 6 integers that are factors of 9621. The greatest factor of 9621 is 9621.

3. What are the Factors of 9627?

Answer: Factors of 9627 are 1, 3, 3209, 9627. There are 4 integers that are factors of 9627. The greatest factor of 9627 is 9627.

4. How to Find the GCF of 9621 and 9627?

Answer:

Greatest Common Factor of 9621 and 9627 = 3

Step 1: Find the prime factorization of 9621

9621 = 3 x 3 x 1069

Step 2: Find the prime factorization of 9627

9627 = 3 x 3209

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 9621 and 9627 is 3