Greatest Common Factor of 9268 and 9270

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 9268, 9270 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9268 and 9270 is 2.

GCF(9268,9270) = 2

GCF of 9268 and 9270

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

GCF of:
and

Greatest Common Factor of 9268 and 9270

GCF of 9268 and 9270 is 2

Prime Factorization of 9268


2 9268
2 4634
7 2317
331 331
1

Prime factors of 9268 are 2,7,331. Prime factorization of 9268 in exponential form is:

9268 = 22×71×3311

Prime Factorization of 9270


2 9270
3 4635
3 1545
5 515
103 103
1

Prime factors of 9270 are 2,3,5,103. Prime factorization of 9270 in exponential form is:

9270 = 21×32×51×1031

∴ So by taking common prime factors GCF of 9268 and 9270 is 2

Greatest Common Factor of 9268 and 9270 by matching factors method

Factors of 9268

List of positive integer factors of 9268 that divides 9268 without a remainder.

1,2,4,7,14,28,331,662,1324,2317,4634,9268

Factors of 9270

List of positive integer factors of 9270 that divides 9270 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90,103,206,309,515,618,927,1030,1545,1854,3090,4635,9270

Greatest Common Factor

We found the factors and prime factorization of 9268 and 9270. The biggest common factor number is the GCF number.
So the greatest common factor 9268 and 9270 is 2.

Also check out the Least Common Multiple of 9268 and 9270

Properties of GCF 9268 and 9270

(i) The GCF of 9268 and 9270 is associative

GCF of 9268 and 9270 = GCF of 9270 and 9268

Related Greatest Common Factor of 9268

Related Greatest Common Factor of 9270

Frequently Asked Questions on GCF of 9268 and 9270

1. What is the GCF of 9268 and 9270?

Answer: GCF of 9268 and 9270 is 2.

2. What are the Factors of 9268?

Answer: Factors of 9268 are 1, 2, 4, 7, 14, 28, 331, 662, 1324, 2317, 4634, 9268. There are 12 integers that are factors of 9268. The greatest factor of 9268 is 9268.

3. What are the Factors of 9270?

Answer: Factors of 9270 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 103, 206, 309, 515, 618, 927, 1030, 1545, 1854, 3090, 4635, 9270. There are 24 integers that are factors of 9270. The greatest factor of 9270 is 9270.

4. How to Find the GCF of 9268 and 9270?

Answer:

Greatest Common Factor of 9268 and 9270 = 2

Step 1: Find the prime factorization of 9268

9268 = 2 x 2 x 7 x 331

Step 2: Find the prime factorization of 9270

9270 = 2 x 3 x 3 x 5 x 103

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 9268 and 9270 is 2