Greatest Common Factor of 7334 and 7338

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 7334, 7338 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7334 and 7338 is 2.

GCF(7334,7338) = 2

GCF of 7334 and 7338

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

GCF of:
and

Greatest Common Factor of 7334 and 7338

GCF of 7334 and 7338 is 2

Prime Factorization of 7334


2 7334
19 3667
193 193
1

Prime factors of 7334 are 2,19,193. Prime factorization of 7334 in exponential form is:

7334 = 21×191×1931

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

∴ So by taking common prime factors GCF of 7334 and 7338 is 2

Greatest Common Factor of 7334 and 7338 by matching factors method

Factors of 7334

List of positive integer factors of 7334 that divides 7334 without a remainder.

1,2,19,38,193,386,3667,7334

Factors of 7338

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

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

Greatest Common Factor

We found the factors and prime factorization of 7334 and 7338. The biggest common factor number is the GCF number.
So the greatest common factor 7334 and 7338 is 2.

Also check out the Least Common Multiple of 7334 and 7338

Properties of GCF 7334 and 7338

(i) The GCF of 7334 and 7338 is associative

GCF of 7334 and 7338 = GCF of 7338 and 7334

Related Greatest Common Factor of 7334

Related Greatest Common Factor of 7338

Frequently Asked Questions on GCF of 7334 and 7338

1. What is the GCF of 7334 and 7338?

Answer: GCF of 7334 and 7338 is 2.

2. What are the Factors of 7334?

Answer: Factors of 7334 are 1, 2, 19, 38, 193, 386, 3667, 7334. There are 8 integers that are factors of 7334. The greatest factor of 7334 is 7334.

3. 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.

4. How to Find the GCF of 7334 and 7338?

Answer:

Greatest Common Factor of 7334 and 7338 = 2

Step 1: Find the prime factorization of 7334

7334 = 2 x 19 x 193

Step 2: Find the prime factorization of 7338

7338 = 2 x 3 x 1223

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 7334 and 7338 is 2