Greatest Common Factor of 9290 and 9296

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 9290, 9296 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9290 and 9296 is 2.

GCF(9290,9296) = 2

GCF of 9290 and 9296

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

GCF of:
and

Greatest Common Factor of 9290 and 9296

GCF of 9290 and 9296 is 2

Prime Factorization of 9290


2 9290
5 4645
929 929
1

Prime factors of 9290 are 2,5,929. Prime factorization of 9290 in exponential form is:

9290 = 21×51×9291

Prime Factorization of 9296


2 9296
2 4648
2 2324
2 1162
7 581
83 83
1

Prime factors of 9296 are 2,7,83. Prime factorization of 9296 in exponential form is:

9296 = 24×71×831

∴ So by taking common prime factors GCF of 9290 and 9296 is 2

Greatest Common Factor of 9290 and 9296 by matching factors method

Factors of 9290

List of positive integer factors of 9290 that divides 9290 without a remainder.

1,2,5,10,929,1858,4645,9290

Factors of 9296

List of positive integer factors of 9296 that divides 9296 without a remainder.

1,2,4,7,8,14,16,28,56,83,112,166,332,581,664,1162,1328,2324,4648,9296

Greatest Common Factor

We found the factors and prime factorization of 9290 and 9296. The biggest common factor number is the GCF number.
So the greatest common factor 9290 and 9296 is 2.

Also check out the Least Common Multiple of 9290 and 9296

Properties of GCF 9290 and 9296

(i) The GCF of 9290 and 9296 is associative

GCF of 9290 and 9296 = GCF of 9296 and 9290

Related Greatest Common Factor of 9290

Related Greatest Common Factor of 9296

Frequently Asked Questions on GCF of 9290 and 9296

1. What is the GCF of 9290 and 9296?

Answer: GCF of 9290 and 9296 is 2.

2. What are the Factors of 9290?

Answer: Factors of 9290 are 1, 2, 5, 10, 929, 1858, 4645, 9290. There are 8 integers that are factors of 9290. The greatest factor of 9290 is 9290.

3. What are the Factors of 9296?

Answer: Factors of 9296 are 1, 2, 4, 7, 8, 14, 16, 28, 56, 83, 112, 166, 332, 581, 664, 1162, 1328, 2324, 4648, 9296. There are 20 integers that are factors of 9296. The greatest factor of 9296 is 9296.

4. How to Find the GCF of 9290 and 9296?

Answer:

Greatest Common Factor of 9290 and 9296 = 2

Step 1: Find the prime factorization of 9290

9290 = 2 x 5 x 929

Step 2: Find the prime factorization of 9296

9296 = 2 x 2 x 2 x 2 x 7 x 83

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 9290 and 9296 is 2