Greatest Common Factor of 9554 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 9554, 9562 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9554 and 9562 is 2.

GCF(9554,9562) = 2

GCF of 9554 and 9562

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

GCF of:
and

Greatest Common Factor of 9554 and 9562

GCF of 9554 and 9562 is 2

Prime Factorization of 9554


2 9554
17 4777
281 281
1

Prime factors of 9554 are 2,17,281. Prime factorization of 9554 in exponential form is:

9554 = 21×171×2811

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 9554 and 9562 is 2

Greatest Common Factor of 9554 and 9562 by matching factors method

Factors of 9554

List of positive integer factors of 9554 that divides 9554 without a remainder.

1,2,17,34,281,562,4777,9554

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 9554 and 9562. The biggest common factor number is the GCF number.
So the greatest common factor 9554 and 9562 is 2.

Also check out the Least Common Multiple of 9554 and 9562

Properties of GCF 9554 and 9562

(i) The GCF of 9554 and 9562 is associative

GCF of 9554 and 9562 = GCF of 9562 and 9554

Related Greatest Common Factor of 9554

Related Greatest Common Factor of 9562

Frequently Asked Questions on GCF of 9554 and 9562

1. What is the GCF of 9554 and 9562?

Answer: GCF of 9554 and 9562 is 2.

2. What are the Factors of 9554?

Answer: Factors of 9554 are 1, 2, 17, 34, 281, 562, 4777, 9554. There are 8 integers that are factors of 9554. The greatest factor of 9554 is 9554.

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 9554 and 9562?

Answer:

Greatest Common Factor of 9554 and 9562 = 2

Step 1: Find the prime factorization of 9554

9554 = 2 x 17 x 281

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 9554 and 9562 is 2