Greatest Common Factor of 9520 and 9522

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 9520, 9522 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9520 and 9522 is 2.

GCF(9520,9522) = 2

GCF of 9520 and 9522

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

GCF of:
and

Greatest Common Factor of 9520 and 9522

GCF of 9520 and 9522 is 2

Prime Factorization of 9520


2 9520
2 4760
2 2380
2 1190
5 595
7 119
17 17
1

Prime factors of 9520 are 2,5,7,17. Prime factorization of 9520 in exponential form is:

9520 = 24×51×71×171

Prime Factorization of 9522


2 9522
3 4761
3 1587
23 529
23 23
1

Prime factors of 9522 are 2,3,23. Prime factorization of 9522 in exponential form is:

9522 = 21×32×232

∴ So by taking common prime factors GCF of 9520 and 9522 is 2

Greatest Common Factor of 9520 and 9522 by matching factors method

Factors of 9520

List of positive integer factors of 9520 that divides 9520 without a remainder.

1,2,4,5,7,8,10,14,16,17,20,28,34,35,40,56,68,70,80,85,112,119,136,140,170,238,272,280,340,476,560,595,680,952,1190,1360,1904,2380,4760,9520

Factors of 9522

List of positive integer factors of 9522 that divides 9522 without a remainder.

1,2,3,6,9,18,23,46,69,138,207,414,529,1058,1587,3174,4761,9522

Greatest Common Factor

We found the factors and prime factorization of 9520 and 9522. The biggest common factor number is the GCF number.
So the greatest common factor 9520 and 9522 is 2.

Also check out the Least Common Multiple of 9520 and 9522

Properties of GCF 9520 and 9522

(i) The GCF of 9520 and 9522 is associative

GCF of 9520 and 9522 = GCF of 9522 and 9520

Related Greatest Common Factor of 9520

Related Greatest Common Factor of 9522

Frequently Asked Questions on GCF of 9520 and 9522

1. What is the GCF of 9520 and 9522?

Answer: GCF of 9520 and 9522 is 2.

2. What are the Factors of 9520?

Answer: Factors of 9520 are 1, 2, 4, 5, 7, 8, 10, 14, 16, 17, 20, 28, 34, 35, 40, 56, 68, 70, 80, 85, 112, 119, 136, 140, 170, 238, 272, 280, 340, 476, 560, 595, 680, 952, 1190, 1360, 1904, 2380, 4760, 9520. There are 40 integers that are factors of 9520. The greatest factor of 9520 is 9520.

3. What are the Factors of 9522?

Answer: Factors of 9522 are 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414, 529, 1058, 1587, 3174, 4761, 9522. There are 18 integers that are factors of 9522. The greatest factor of 9522 is 9522.

4. How to Find the GCF of 9520 and 9522?

Answer:

Greatest Common Factor of 9520 and 9522 = 2

Step 1: Find the prime factorization of 9520

9520 = 2 x 2 x 2 x 2 x 5 x 7 x 17

Step 2: Find the prime factorization of 9522

9522 = 2 x 3 x 3 x 23 x 23

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 9520 and 9522 is 2