Greatest Common Factor of 9634 and 9638

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, 9638 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9634 and 9638 is 2.

GCF(9634,9638) = 2

GCF of 9634 and 9638

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

GCF of:
and

Greatest Common Factor of 9634 and 9638

GCF of 9634 and 9638 is 2

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 9638


2 9638
61 4819
79 79
1

Prime factors of 9638 are 2,61,79. Prime factorization of 9638 in exponential form is:

9638 = 21×611×791

∴ So by taking common prime factors GCF of 9634 and 9638 is 2

Greatest Common Factor of 9634 and 9638 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 9638

List of positive integer factors of 9638 that divides 9638 without a remainder.

1,2,61,79,122,158,4819,9638

Greatest Common Factor

We found the factors and prime factorization of 9634 and 9638. The biggest common factor number is the GCF number.
So the greatest common factor 9634 and 9638 is 2.

Also check out the Least Common Multiple of 9634 and 9638

Properties of GCF 9634 and 9638

(i) The GCF of 9634 and 9638 is associative

GCF of 9634 and 9638 = GCF of 9638 and 9634

Related Greatest Common Factor of 9634

Related Greatest Common Factor of 9638

Frequently Asked Questions on GCF of 9634 and 9638

1. What is the GCF of 9634 and 9638?

Answer: GCF of 9634 and 9638 is 2.

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 9638?

Answer: Factors of 9638 are 1, 2, 61, 79, 122, 158, 4819, 9638. There are 8 integers that are factors of 9638. The greatest factor of 9638 is 9638.

4. How to Find the GCF of 9634 and 9638?

Answer:

Greatest Common Factor of 9634 and 9638 = 2

Step 1: Find the prime factorization of 9634

9634 = 2 x 4817

Step 2: Find the prime factorization of 9638

9638 = 2 x 61 x 79

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2

Step 4: Therefore, the greatest common factor of 9634 and 9638 is 2