Greatest Common Factor of 9556 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 9556, 9562 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9556 and 9562 is 2.

GCF(9556,9562) = 2

GCF of 9556 and 9562

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

GCF of:
and

Greatest Common Factor of 9556 and 9562

GCF of 9556 and 9562 is 2

Prime Factorization of 9556


2 9556
2 4778
2389 2389
1

Prime factors of 9556 are 2,2389. Prime factorization of 9556 in exponential form is:

9556 = 22×23891

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 9556 and 9562 is 2

Greatest Common Factor of 9556 and 9562 by matching factors method

Factors of 9556

List of positive integer factors of 9556 that divides 9556 without a remainder.

1,2,4,2389,4778,9556

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 9556 and 9562. The biggest common factor number is the GCF number.
So the greatest common factor 9556 and 9562 is 2.

Also check out the Least Common Multiple of 9556 and 9562

Properties of GCF 9556 and 9562

(i) The GCF of 9556 and 9562 is associative

GCF of 9556 and 9562 = GCF of 9562 and 9556

Related Greatest Common Factor of 9556

Related Greatest Common Factor of 9562

Frequently Asked Questions on GCF of 9556 and 9562

1. What is the GCF of 9556 and 9562?

Answer: GCF of 9556 and 9562 is 2.

2. What are the Factors of 9556?

Answer: Factors of 9556 are 1, 2, 4, 2389, 4778, 9556. There are 6 integers that are factors of 9556. The greatest factor of 9556 is 9556.

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 9556 and 9562?

Answer:

Greatest Common Factor of 9556 and 9562 = 2

Step 1: Find the prime factorization of 9556

9556 = 2 x 2 x 2389

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 9556 and 9562 is 2