Greatest Common Factor of 9634 and 9641

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 9634, 9641 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9634 and 9641 is 1.

GCF(9634,9641) = 1

GCF of 9634 and 9641

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

GCF of:
and

Greatest Common Factor of 9634 and 9641

GCF of 9634 and 9641 is 1

Prime Factorization of 9634


2 9634
4817 4817
1

Prime factors of 9634 are 2,4817. Prime factorization of 9634 in exponential form is:

9634 = 21×48171

Prime Factorization of 9641


31 9641
311 311
1

Prime factors of 9641 are 31,311. Prime factorization of 9641 in exponential form is:

9641 = 311×3111

∴ So by taking common prime factors GCF of 9634 and 9641 is 1

Greatest Common Factor of 9634 and 9641 by matching factors method

Factors of 9634

List of positive integer factors of 9634 that divides 9634 without a remainder.

1,2,4817,9634

Factors of 9641

List of positive integer factors of 9641 that divides 9641 without a remainder.

1,31,311,9641

Greatest Common Factor

We found the factors and prime factorization of 9634 and 9641. The biggest common factor number is the GCF number.
So the greatest common factor 9634 and 9641 is 1.

Also check out the Least Common Multiple of 9634 and 9641

Properties of GCF 9634 and 9641

(i) The GCF of 9634 and 9641 is associative

GCF of 9634 and 9641 = GCF of 9641 and 9634

Related Greatest Common Factor of 9634

Related Greatest Common Factor of 9641

Frequently Asked Questions on GCF of 9634 and 9641

1. What is the GCF of 9634 and 9641?

Answer: GCF of 9634 and 9641 is 1.

2. What are the Factors of 9634?

Answer: Factors of 9634 are 1, 2, 4817, 9634. There are 4 integers that are factors of 9634. The greatest factor of 9634 is 9634.

3. What are the Factors of 9641?

Answer: Factors of 9641 are 1, 31, 311, 9641. There are 4 integers that are factors of 9641. The greatest factor of 9641 is 9641.

4. How to Find the GCF of 9634 and 9641?

Answer:

Greatest Common Factor of 9634 and 9641 = 1

Step 1: Find the prime factorization of 9634

9634 = 2 x 4817

Step 2: Find the prime factorization of 9641

9641 = 31 x 311

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 9634 and 9641 is 1