Greatest Common Factor of 9314 and 9318

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 9314, 9318 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9314 and 9318 is 2.

GCF(9314,9318) = 2

GCF of 9314 and 9318

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

GCF of:
and

Greatest Common Factor of 9314 and 9318

GCF of 9314 and 9318 is 2

Prime Factorization of 9314


2 9314
4657 4657
1

Prime factors of 9314 are 2,4657. Prime factorization of 9314 in exponential form is:

9314 = 21×46571

Prime Factorization of 9318


2 9318
3 4659
1553 1553
1

Prime factors of 9318 are 2,3,1553. Prime factorization of 9318 in exponential form is:

9318 = 21×31×15531

∴ So by taking common prime factors GCF of 9314 and 9318 is 2

Greatest Common Factor of 9314 and 9318 by matching factors method

Factors of 9314

List of positive integer factors of 9314 that divides 9314 without a remainder.

1,2,4657,9314

Factors of 9318

List of positive integer factors of 9318 that divides 9318 without a remainder.

1,2,3,6,1553,3106,4659,9318

Greatest Common Factor

We found the factors and prime factorization of 9314 and 9318. The biggest common factor number is the GCF number.
So the greatest common factor 9314 and 9318 is 2.

Also check out the Least Common Multiple of 9314 and 9318

Properties of GCF 9314 and 9318

(i) The GCF of 9314 and 9318 is associative

GCF of 9314 and 9318 = GCF of 9318 and 9314

Related Greatest Common Factor of 9314

Related Greatest Common Factor of 9318

Frequently Asked Questions on GCF of 9314 and 9318

1. What is the GCF of 9314 and 9318?

Answer: GCF of 9314 and 9318 is 2.

2. What are the Factors of 9314?

Answer: Factors of 9314 are 1, 2, 4657, 9314. There are 4 integers that are factors of 9314. The greatest factor of 9314 is 9314.

3. What are the Factors of 9318?

Answer: Factors of 9318 are 1, 2, 3, 6, 1553, 3106, 4659, 9318. There are 8 integers that are factors of 9318. The greatest factor of 9318 is 9318.

4. How to Find the GCF of 9314 and 9318?

Answer:

Greatest Common Factor of 9314 and 9318 = 2

Step 1: Find the prime factorization of 9314

9314 = 2 x 4657

Step 2: Find the prime factorization of 9318

9318 = 2 x 3 x 1553

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 9314 and 9318 is 2