Greatest Common Factor of 7354 and 7361

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 7354, 7361 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7354 and 7361 is 1.

GCF(7354,7361) = 1

GCF of 7354 and 7361

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

GCF of:
and

Greatest Common Factor of 7354 and 7361

GCF of 7354 and 7361 is 1

Prime Factorization of 7354


2 7354
3677 3677
1

Prime factors of 7354 are 2,3677. Prime factorization of 7354 in exponential form is:

7354 = 21×36771

Prime Factorization of 7361


17 7361
433 433
1

Prime factors of 7361 are 17,433. Prime factorization of 7361 in exponential form is:

7361 = 171×4331

∴ So by taking common prime factors GCF of 7354 and 7361 is 1

Greatest Common Factor of 7354 and 7361 by matching factors method

Factors of 7354

List of positive integer factors of 7354 that divides 7354 without a remainder.

1,2,3677,7354

Factors of 7361

List of positive integer factors of 7361 that divides 7361 without a remainder.

1,17,433,7361

Greatest Common Factor

We found the factors and prime factorization of 7354 and 7361. The biggest common factor number is the GCF number.
So the greatest common factor 7354 and 7361 is 1.

Also check out the Least Common Multiple of 7354 and 7361

Properties of GCF 7354 and 7361

(i) The GCF of 7354 and 7361 is associative

GCF of 7354 and 7361 = GCF of 7361 and 7354

Related Greatest Common Factor of 7354

Related Greatest Common Factor of 7361

Frequently Asked Questions on GCF of 7354 and 7361

1. What is the GCF of 7354 and 7361?

Answer: GCF of 7354 and 7361 is 1.

2. What are the Factors of 7354?

Answer: Factors of 7354 are 1, 2, 3677, 7354. There are 4 integers that are factors of 7354. The greatest factor of 7354 is 7354.

3. What are the Factors of 7361?

Answer: Factors of 7361 are 1, 17, 433, 7361. There are 4 integers that are factors of 7361. The greatest factor of 7361 is 7361.

4. How to Find the GCF of 7354 and 7361?

Answer:

Greatest Common Factor of 7354 and 7361 = 1

Step 1: Find the prime factorization of 7354

7354 = 2 x 3677

Step 2: Find the prime factorization of 7361

7361 = 17 x 433

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 7354 and 7361 is 1