Greatest Common Factor of 9562 and 9569

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 9562, 9569 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9562 and 9569 is 7.

GCF(9562,9569) = 7

GCF of 9562 and 9569

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

GCF of:
and

Greatest Common Factor of 9562 and 9569

GCF of 9562 and 9569 is 7

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

Prime Factorization of 9569


7 9569
1367 1367
1

Prime factors of 9569 are 7,1367. Prime factorization of 9569 in exponential form is:

9569 = 71×13671

∴ So by taking common prime factors GCF of 9562 and 9569 is 7

Greatest Common Factor of 9562 and 9569 by matching factors method

Factors of 9562

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

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

Factors of 9569

List of positive integer factors of 9569 that divides 9569 without a remainder.

1,7,1367,9569

Greatest Common Factor

We found the factors and prime factorization of 9562 and 9569. The biggest common factor number is the GCF number.
So the greatest common factor 9562 and 9569 is 7.

Also check out the Least Common Multiple of 9562 and 9569

Properties of GCF 9562 and 9569

(i) The GCF of 9562 and 9569 is associative

GCF of 9562 and 9569 = GCF of 9569 and 9562

Related Greatest Common Factor of 9562

Related Greatest Common Factor of 9569

Frequently Asked Questions on GCF of 9562 and 9569

1. What is the GCF of 9562 and 9569?

Answer: GCF of 9562 and 9569 is 7.

2. 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.

3. What are the Factors of 9569?

Answer: Factors of 9569 are 1, 7, 1367, 9569. There are 4 integers that are factors of 9569. The greatest factor of 9569 is 9569.

4. How to Find the GCF of 9562 and 9569?

Answer:

Greatest Common Factor of 9562 and 9569 = 7

Step 1: Find the prime factorization of 9562

9562 = 2 x 7 x 683

Step 2: Find the prime factorization of 9569

9569 = 7 x 1367

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

GCF = 7

Step 4: Therefore, the greatest common factor of 9562 and 9569 is 7