Greatest Common Factor of 7365 and 7373

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 7365, 7373 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7365 and 7373 is 1.

GCF(7365,7373) = 1

GCF of 7365 and 7373

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

GCF of:
and

Greatest Common Factor of 7365 and 7373

GCF of 7365 and 7373 is 1

Prime Factorization of 7365


3 7365
5 2455
491 491
1

Prime factors of 7365 are 3,5,491. Prime factorization of 7365 in exponential form is:

7365 = 31×51×4911

Prime Factorization of 7373


73 7373
101 101
1

Prime factors of 7373 are 73,101. Prime factorization of 7373 in exponential form is:

7373 = 731×1011

∴ So by taking common prime factors GCF of 7365 and 7373 is 1

Greatest Common Factor of 7365 and 7373 by matching factors method

Factors of 7365

List of positive integer factors of 7365 that divides 7365 without a remainder.

1,3,5,15,491,1473,2455,7365

Factors of 7373

List of positive integer factors of 7373 that divides 7373 without a remainder.

1,73,101,7373

Greatest Common Factor

We found the factors and prime factorization of 7365 and 7373. The biggest common factor number is the GCF number.
So the greatest common factor 7365 and 7373 is 1.

Also check out the Least Common Multiple of 7365 and 7373

Properties of GCF 7365 and 7373

(i) The GCF of 7365 and 7373 is associative

GCF of 7365 and 7373 = GCF of 7373 and 7365

Related Greatest Common Factor of 7365

Related Greatest Common Factor of 7373

Frequently Asked Questions on GCF of 7365 and 7373

1. What is the GCF of 7365 and 7373?

Answer: GCF of 7365 and 7373 is 1.

2. What are the Factors of 7365?

Answer: Factors of 7365 are 1, 3, 5, 15, 491, 1473, 2455, 7365. There are 8 integers that are factors of 7365. The greatest factor of 7365 is 7365.

3. What are the Factors of 7373?

Answer: Factors of 7373 are 1, 73, 101, 7373. There are 4 integers that are factors of 7373. The greatest factor of 7373 is 7373.

4. How to Find the GCF of 7365 and 7373?

Answer:

Greatest Common Factor of 7365 and 7373 = 1

Step 1: Find the prime factorization of 7365

7365 = 3 x 5 x 491

Step 2: Find the prime factorization of 7373

7373 = 73 x 101

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 7365 and 7373 is 1