Greatest Common Factor of 7337 and 7341

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 7337, 7341 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7337 and 7341 is 1.

GCF(7337,7341) = 1

GCF of 7337 and 7341

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

GCF of:
and

Greatest Common Factor of 7337 and 7341

GCF of 7337 and 7341 is 1

Prime Factorization of 7337


11 7337
23 667
29 29
1

Prime factors of 7337 are 11,23,29. Prime factorization of 7337 in exponential form is:

7337 = 111×231×291

Prime Factorization of 7341


3 7341
2447 2447
1

Prime factors of 7341 are 3,2447. Prime factorization of 7341 in exponential form is:

7341 = 31×24471

∴ So by taking common prime factors GCF of 7337 and 7341 is 1

Greatest Common Factor of 7337 and 7341 by matching factors method

Factors of 7337

List of positive integer factors of 7337 that divides 7337 without a remainder.

1,11,23,29,253,319,667,7337

Factors of 7341

List of positive integer factors of 7341 that divides 7341 without a remainder.

1,3,2447,7341

Greatest Common Factor

We found the factors and prime factorization of 7337 and 7341. The biggest common factor number is the GCF number.
So the greatest common factor 7337 and 7341 is 1.

Also check out the Least Common Multiple of 7337 and 7341

Properties of GCF 7337 and 7341

(i) The GCF of 7337 and 7341 is associative

GCF of 7337 and 7341 = GCF of 7341 and 7337

Related Greatest Common Factor of 7337

Related Greatest Common Factor of 7341

Frequently Asked Questions on GCF of 7337 and 7341

1. What is the GCF of 7337 and 7341?

Answer: GCF of 7337 and 7341 is 1.

2. What are the Factors of 7337?

Answer: Factors of 7337 are 1, 11, 23, 29, 253, 319, 667, 7337. There are 8 integers that are factors of 7337. The greatest factor of 7337 is 7337.

3. What are the Factors of 7341?

Answer: Factors of 7341 are 1, 3, 2447, 7341. There are 4 integers that are factors of 7341. The greatest factor of 7341 is 7341.

4. How to Find the GCF of 7337 and 7341?

Answer:

Greatest Common Factor of 7337 and 7341 = 1

Step 1: Find the prime factorization of 7337

7337 = 11 x 23 x 29

Step 2: Find the prime factorization of 7341

7341 = 3 x 2447

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 7337 and 7341 is 1