Greatest Common Factor of 9635 and 9637

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 9635, 9637 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9635 and 9637 is 1.

GCF(9635,9637) = 1

GCF of 9635 and 9637

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

GCF of:
and

Greatest Common Factor of 9635 and 9637

GCF of 9635 and 9637 is 1

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

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

∴ So by taking common prime factors GCF of 9635 and 9637 is 1

Greatest Common Factor of 9635 and 9637 by matching factors method

Factors of 9635

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

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

Factors of 9637

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

1,23,419,9637

Greatest Common Factor

We found the factors and prime factorization of 9635 and 9637. The biggest common factor number is the GCF number.
So the greatest common factor 9635 and 9637 is 1.

Also check out the Least Common Multiple of 9635 and 9637

Properties of GCF 9635 and 9637

(i) The GCF of 9635 and 9637 is associative

GCF of 9635 and 9637 = GCF of 9637 and 9635

Related Greatest Common Factor of 9635

Related Greatest Common Factor of 9637

Frequently Asked Questions on GCF of 9635 and 9637

1. What is the GCF of 9635 and 9637?

Answer: GCF of 9635 and 9637 is 1.

2. 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.

3. 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.

4. How to Find the GCF of 9635 and 9637?

Answer:

Greatest Common Factor of 9635 and 9637 = 1

Step 1: Find the prime factorization of 9635

9635 = 5 x 41 x 47

Step 2: Find the prime factorization of 9637

9637 = 23 x 419

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 9635 and 9637 is 1