Greatest Common Factor of 9208 and 9214

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 9208, 9214 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9208 and 9214 is 2.

GCF(9208,9214) = 2

GCF of 9208 and 9214

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

GCF of:
and

Greatest Common Factor of 9208 and 9214

GCF of 9208 and 9214 is 2

Prime Factorization of 9208


2 9208
2 4604
2 2302
1151 1151
1

Prime factors of 9208 are 2,1151. Prime factorization of 9208 in exponential form is:

9208 = 23×11511

Prime Factorization of 9214


2 9214
17 4607
271 271
1

Prime factors of 9214 are 2,17,271. Prime factorization of 9214 in exponential form is:

9214 = 21×171×2711

∴ So by taking common prime factors GCF of 9208 and 9214 is 2

Greatest Common Factor of 9208 and 9214 by matching factors method

Factors of 9208

List of positive integer factors of 9208 that divides 9208 without a remainder.

1,2,4,8,1151,2302,4604,9208

Factors of 9214

List of positive integer factors of 9214 that divides 9214 without a remainder.

1,2,17,34,271,542,4607,9214

Greatest Common Factor

We found the factors and prime factorization of 9208 and 9214. The biggest common factor number is the GCF number.
So the greatest common factor 9208 and 9214 is 2.

Also check out the Least Common Multiple of 9208 and 9214

Properties of GCF 9208 and 9214

(i) The GCF of 9208 and 9214 is associative

GCF of 9208 and 9214 = GCF of 9214 and 9208

Related Greatest Common Factor of 9208

Related Greatest Common Factor of 9214

Frequently Asked Questions on GCF of 9208 and 9214

1. What is the GCF of 9208 and 9214?

Answer: GCF of 9208 and 9214 is 2.

2. What are the Factors of 9208?

Answer: Factors of 9208 are 1, 2, 4, 8, 1151, 2302, 4604, 9208. There are 8 integers that are factors of 9208. The greatest factor of 9208 is 9208.

3. What are the Factors of 9214?

Answer: Factors of 9214 are 1, 2, 17, 34, 271, 542, 4607, 9214. There are 8 integers that are factors of 9214. The greatest factor of 9214 is 9214.

4. How to Find the GCF of 9208 and 9214?

Answer:

Greatest Common Factor of 9208 and 9214 = 2

Step 1: Find the prime factorization of 9208

9208 = 2 x 2 x 2 x 1151

Step 2: Find the prime factorization of 9214

9214 = 2 x 17 x 271

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 9208 and 9214 is 2