Greatest Common Factor of 9558 and 9562

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 9558, 9562 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9558 and 9562 is 2.

GCF(9558,9562) = 2

GCF of 9558 and 9562

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

GCF of:
and

Greatest Common Factor of 9558 and 9562

GCF of 9558 and 9562 is 2

Prime Factorization of 9558


2 9558
3 4779
3 1593
3 531
3 177
59 59
1

Prime factors of 9558 are 2,3,59. Prime factorization of 9558 in exponential form is:

9558 = 21×34×591

Prime Factorization of 9562


2 9562
7 4781
683 683
1

Prime factors of 9562 are 2,7,683. Prime factorization of 9562 in exponential form is:

9562 = 21×71×6831

∴ So by taking common prime factors GCF of 9558 and 9562 is 2

Greatest Common Factor of 9558 and 9562 by matching factors method

Factors of 9558

List of positive integer factors of 9558 that divides 9558 without a remainder.

1,2,3,6,9,18,27,54,59,81,118,162,177,354,531,1062,1593,3186,4779,9558

Factors of 9562

List of positive integer factors of 9562 that divides 9562 without a remainder.

1,2,7,14,683,1366,4781,9562

Greatest Common Factor

We found the factors and prime factorization of 9558 and 9562. The biggest common factor number is the GCF number.
So the greatest common factor 9558 and 9562 is 2.

Also check out the Least Common Multiple of 9558 and 9562

Properties of GCF 9558 and 9562

(i) The GCF of 9558 and 9562 is associative

GCF of 9558 and 9562 = GCF of 9562 and 9558

Related Greatest Common Factor of 9558

Related Greatest Common Factor of 9562

Frequently Asked Questions on GCF of 9558 and 9562

1. What is the GCF of 9558 and 9562?

Answer: GCF of 9558 and 9562 is 2.

2. What are the Factors of 9558?

Answer: Factors of 9558 are 1, 2, 3, 6, 9, 18, 27, 54, 59, 81, 118, 162, 177, 354, 531, 1062, 1593, 3186, 4779, 9558. There are 20 integers that are factors of 9558. The greatest factor of 9558 is 9558.

3. What are the Factors of 9562?

Answer: Factors of 9562 are 1, 2, 7, 14, 683, 1366, 4781, 9562. There are 8 integers that are factors of 9562. The greatest factor of 9562 is 9562.

4. How to Find the GCF of 9558 and 9562?

Answer:

Greatest Common Factor of 9558 and 9562 = 2

Step 1: Find the prime factorization of 9558

9558 = 2 x 3 x 3 x 3 x 3 x 59

Step 2: Find the prime factorization of 9562

9562 = 2 x 7 x 683

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 9558 and 9562 is 2