Greatest Common Factor of 365 and 373

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 365, 373 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 365 and 373 is 1.

GCF(365,373) = 1

GCF of 365 and 373

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

GCF of:
and

Greatest Common Factor of 365 and 373

GCF of 365 and 373 is 1

Prime Factorization of 365


5 365
73 73
1

Prime factors of 365 are 5,73. Prime factorization of 365 in exponential form is:

365 = 51×731

Prime Factorization of 373


373 373
1

Prime factors of 373 are 373. Prime factorization of 373 in exponential form is:

373 = 3731

∴ So by taking common prime factors GCF of 365 and 373 is 1

Greatest Common Factor of 365 and 373 by matching factors method

Factors of 365

List of positive integer factors of 365 that divides 365 without a remainder.

1,5,73,365

Factors of 373

List of positive integer factors of 373 that divides 373 without a remainder.

1,373

Greatest Common Factor

We found the factors and prime factorization of 365 and 373. The biggest common factor number is the GCF number.
So the greatest common factor 365 and 373 is 1.

Also check out the Least Common Multiple of 365 and 373

Properties of GCF 365 and 373

(i) The GCF of 365 and 373 is associative

GCF of 365 and 373 = GCF of 373 and 365

Related Greatest Common Factor of 365

Related Greatest Common Factor of 373

Frequently Asked Questions on GCF of 365 and 373

1. What is the GCF of 365 and 373?

Answer: GCF of 365 and 373 is 1.

2. What are the Factors of 365?

Answer: Factors of 365 are 1, 5, 73, 365. There are 4 integers that are factors of 365. The greatest factor of 365 is 365.

3. What are the Factors of 373?

Answer: Factors of 373 are 1, 373. There are 2 integers that are factors of 373. The greatest factor of 373 is 373.

4. How to Find the GCF of 365 and 373?

Answer:

Greatest Common Factor of 365 and 373 = 1

Step 1: Find the prime factorization of 365

365 = 5 x 73

Step 2: Find the prime factorization of 373

373 = 373

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 365 and 373 is 1