Greatest Common Factor of 9627 and 9635

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 9627, 9635 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9627 and 9635 is 1.

GCF(9627,9635) = 1

GCF of 9627 and 9635

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

GCF of:
and

Greatest Common Factor of 9627 and 9635

GCF of 9627 and 9635 is 1

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

Prime Factorization of 9635


5 9635
41 1927
47 47
1

Prime factors of 9635 are 5,41,47. Prime factorization of 9635 in exponential form is:

9635 = 51×411×471

∴ So by taking common prime factors GCF of 9627 and 9635 is 1

Greatest Common Factor of 9627 and 9635 by matching factors method

Factors of 9627

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

1,3,3209,9627

Factors of 9635

List of positive integer factors of 9635 that divides 9635 without a remainder.

1,5,41,47,205,235,1927,9635

Greatest Common Factor

We found the factors and prime factorization of 9627 and 9635. The biggest common factor number is the GCF number.
So the greatest common factor 9627 and 9635 is 1.

Also check out the Least Common Multiple of 9627 and 9635

Properties of GCF 9627 and 9635

(i) The GCF of 9627 and 9635 is associative

GCF of 9627 and 9635 = GCF of 9635 and 9627

Related Greatest Common Factor of 9627

Related Greatest Common Factor of 9635

Frequently Asked Questions on GCF of 9627 and 9635

1. What is the GCF of 9627 and 9635?

Answer: GCF of 9627 and 9635 is 1.

2. 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.

3. What are the Factors of 9635?

Answer: Factors of 9635 are 1, 5, 41, 47, 205, 235, 1927, 9635. There are 8 integers that are factors of 9635. The greatest factor of 9635 is 9635.

4. How to Find the GCF of 9627 and 9635?

Answer:

Greatest Common Factor of 9627 and 9635 = 1

Step 1: Find the prime factorization of 9627

9627 = 3 x 3209

Step 2: Find the prime factorization of 9635

9635 = 5 x 41 x 47

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 9627 and 9635 is 1