Greatest Common Factor of 9645 and 9647

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 9645, 9647 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9645 and 9647 is 1.

GCF(9645,9647) = 1

GCF of 9645 and 9647

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

GCF of:
and

Greatest Common Factor of 9645 and 9647

GCF of 9645 and 9647 is 1

Prime Factorization of 9645


3 9645
5 3215
643 643
1

Prime factors of 9645 are 3,5,643. Prime factorization of 9645 in exponential form is:

9645 = 31×51×6431

Prime Factorization of 9647


11 9647
877 877
1

Prime factors of 9647 are 11,877. Prime factorization of 9647 in exponential form is:

9647 = 111×8771

∴ So by taking common prime factors GCF of 9645 and 9647 is 1

Greatest Common Factor of 9645 and 9647 by matching factors method

Factors of 9645

List of positive integer factors of 9645 that divides 9645 without a remainder.

1,3,5,15,643,1929,3215,9645

Factors of 9647

List of positive integer factors of 9647 that divides 9647 without a remainder.

1,11,877,9647

Greatest Common Factor

We found the factors and prime factorization of 9645 and 9647. The biggest common factor number is the GCF number.
So the greatest common factor 9645 and 9647 is 1.

Also check out the Least Common Multiple of 9645 and 9647

Properties of GCF 9645 and 9647

(i) The GCF of 9645 and 9647 is associative

GCF of 9645 and 9647 = GCF of 9647 and 9645

Frequently Asked Questions on GCF of 9645 and 9647

1. What is the GCF of 9645 and 9647?

Answer: GCF of 9645 and 9647 is 1.

2. What are the Factors of 9645?

Answer: Factors of 9645 are 1, 3, 5, 15, 643, 1929, 3215, 9645. There are 8 integers that are factors of 9645. The greatest factor of 9645 is 9645.

3. What are the Factors of 9647?

Answer: Factors of 9647 are 1, 11, 877, 9647. There are 4 integers that are factors of 9647. The greatest factor of 9647 is 9647.

4. How to Find the GCF of 9645 and 9647?

Answer:

Greatest Common Factor of 9645 and 9647 = 1

Step 1: Find the prime factorization of 9645

9645 = 3 x 5 x 643

Step 2: Find the prime factorization of 9647

9647 = 11 x 877

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 9645 and 9647 is 1