Greatest Common Factor of 9638 and 9642

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 9638, 9642 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9638 and 9642 is 2.

GCF(9638,9642) = 2

GCF of 9638 and 9642

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

GCF of:
and

Greatest Common Factor of 9638 and 9642

GCF of 9638 and 9642 is 2

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

Prime Factorization of 9642


2 9642
3 4821
1607 1607
1

Prime factors of 9642 are 2,3,1607. Prime factorization of 9642 in exponential form is:

9642 = 21×31×16071

∴ So by taking common prime factors GCF of 9638 and 9642 is 2

Greatest Common Factor of 9638 and 9642 by matching factors method

Factors of 9638

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

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

Factors of 9642

List of positive integer factors of 9642 that divides 9642 without a remainder.

1,2,3,6,1607,3214,4821,9642

Greatest Common Factor

We found the factors and prime factorization of 9638 and 9642. The biggest common factor number is the GCF number.
So the greatest common factor 9638 and 9642 is 2.

Also check out the Least Common Multiple of 9638 and 9642

Properties of GCF 9638 and 9642

(i) The GCF of 9638 and 9642 is associative

GCF of 9638 and 9642 = GCF of 9642 and 9638

Related Greatest Common Factor of 9638

Related Greatest Common Factor of 9642

Frequently Asked Questions on GCF of 9638 and 9642

1. What is the GCF of 9638 and 9642?

Answer: GCF of 9638 and 9642 is 2.

2. 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.

3. What are the Factors of 9642?

Answer: Factors of 9642 are 1, 2, 3, 6, 1607, 3214, 4821, 9642. There are 8 integers that are factors of 9642. The greatest factor of 9642 is 9642.

4. How to Find the GCF of 9638 and 9642?

Answer:

Greatest Common Factor of 9638 and 9642 = 2

Step 1: Find the prime factorization of 9638

9638 = 2 x 61 x 79

Step 2: Find the prime factorization of 9642

9642 = 2 x 3 x 1607

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 9638 and 9642 is 2