Greatest Common Factor of 7338 and 7346

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 7338, 7346 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7338 and 7346 is 2.

GCF(7338,7346) = 2

GCF of 7338 and 7346

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

GCF of:
and

Greatest Common Factor of 7338 and 7346

GCF of 7338 and 7346 is 2

Prime Factorization of 7338


2 7338
3 3669
1223 1223
1

Prime factors of 7338 are 2,3,1223. Prime factorization of 7338 in exponential form is:

7338 = 21×31×12231

Prime Factorization of 7346


2 7346
3673 3673
1

Prime factors of 7346 are 2,3673. Prime factorization of 7346 in exponential form is:

7346 = 21×36731

∴ So by taking common prime factors GCF of 7338 and 7346 is 2

Greatest Common Factor of 7338 and 7346 by matching factors method

Factors of 7338

List of positive integer factors of 7338 that divides 7338 without a remainder.

1,2,3,6,1223,2446,3669,7338

Factors of 7346

List of positive integer factors of 7346 that divides 7346 without a remainder.

1,2,3673,7346

Greatest Common Factor

We found the factors and prime factorization of 7338 and 7346. The biggest common factor number is the GCF number.
So the greatest common factor 7338 and 7346 is 2.

Also check out the Least Common Multiple of 7338 and 7346

Properties of GCF 7338 and 7346

(i) The GCF of 7338 and 7346 is associative

GCF of 7338 and 7346 = GCF of 7346 and 7338

Related Greatest Common Factor of 7338

Related Greatest Common Factor of 7346

Frequently Asked Questions on GCF of 7338 and 7346

1. What is the GCF of 7338 and 7346?

Answer: GCF of 7338 and 7346 is 2.

2. What are the Factors of 7338?

Answer: Factors of 7338 are 1, 2, 3, 6, 1223, 2446, 3669, 7338. There are 8 integers that are factors of 7338. The greatest factor of 7338 is 7338.

3. What are the Factors of 7346?

Answer: Factors of 7346 are 1, 2, 3673, 7346. There are 4 integers that are factors of 7346. The greatest factor of 7346 is 7346.

4. How to Find the GCF of 7338 and 7346?

Answer:

Greatest Common Factor of 7338 and 7346 = 2

Step 1: Find the prime factorization of 7338

7338 = 2 x 3 x 1223

Step 2: Find the prime factorization of 7346

7346 = 2 x 3673

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 7338 and 7346 is 2