Greatest Common Factor of 9637 and 9645

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 9637, 9645 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9637 and 9645 is 1.

GCF(9637,9645) = 1

GCF of 9637 and 9645

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

GCF of:
and

Greatest Common Factor of 9637 and 9645

GCF of 9637 and 9645 is 1

Prime Factorization of 9637


23 9637
419 419
1

Prime factors of 9637 are 23,419. Prime factorization of 9637 in exponential form is:

9637 = 231×4191

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

∴ So by taking common prime factors GCF of 9637 and 9645 is 1

Greatest Common Factor of 9637 and 9645 by matching factors method

Factors of 9637

List of positive integer factors of 9637 that divides 9637 without a remainder.

1,23,419,9637

Factors of 9645

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

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

Greatest Common Factor

We found the factors and prime factorization of 9637 and 9645. The biggest common factor number is the GCF number.
So the greatest common factor 9637 and 9645 is 1.

Also check out the Least Common Multiple of 9637 and 9645

Properties of GCF 9637 and 9645

(i) The GCF of 9637 and 9645 is associative

GCF of 9637 and 9645 = GCF of 9645 and 9637

Related Greatest Common Factor of 9637

Related Greatest Common Factor of 9645

Frequently Asked Questions on GCF of 9637 and 9645

1. What is the GCF of 9637 and 9645?

Answer: GCF of 9637 and 9645 is 1.

2. What are the Factors of 9637?

Answer: Factors of 9637 are 1, 23, 419, 9637. There are 4 integers that are factors of 9637. The greatest factor of 9637 is 9637.

3. 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.

4. How to Find the GCF of 9637 and 9645?

Answer:

Greatest Common Factor of 9637 and 9645 = 1

Step 1: Find the prime factorization of 9637

9637 = 23 x 419

Step 2: Find the prime factorization of 9645

9645 = 3 x 5 x 643

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 9637 and 9645 is 1