Greatest Common Factor of 7334 and 7339

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, 7339 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7334 and 7339 is 1.

GCF(7334,7339) = 1

GCF of 7334 and 7339

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

GCF of:
and

Greatest Common Factor of 7334 and 7339

GCF of 7334 and 7339 is 1

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 7339


41 7339
179 179
1

Prime factors of 7339 are 41,179. Prime factorization of 7339 in exponential form is:

7339 = 411×1791

∴ So by taking common prime factors GCF of 7334 and 7339 is 1

Greatest Common Factor of 7334 and 7339 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 7339

List of positive integer factors of 7339 that divides 7339 without a remainder.

1,41,179,7339

Greatest Common Factor

We found the factors and prime factorization of 7334 and 7339. The biggest common factor number is the GCF number.
So the greatest common factor 7334 and 7339 is 1.

Also check out the Least Common Multiple of 7334 and 7339

Properties of GCF 7334 and 7339

(i) The GCF of 7334 and 7339 is associative

GCF of 7334 and 7339 = GCF of 7339 and 7334

Related Greatest Common Factor of 7334

Related Greatest Common Factor of 7339

Frequently Asked Questions on GCF of 7334 and 7339

1. What is the GCF of 7334 and 7339?

Answer: GCF of 7334 and 7339 is 1.

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 7339?

Answer: Factors of 7339 are 1, 41, 179, 7339. There are 4 integers that are factors of 7339. The greatest factor of 7339 is 7339.

4. How to Find the GCF of 7334 and 7339?

Answer:

Greatest Common Factor of 7334 and 7339 = 1

Step 1: Find the prime factorization of 7334

7334 = 2 x 19 x 193

Step 2: Find the prime factorization of 7339

7339 = 41 x 179

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = = 1

Step 4: Therefore, the greatest common factor of 7334 and 7339 is 1