Greatest Common Factor of 7383 and 7385

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 7383, 7385 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7383 and 7385 is 1.

GCF(7383,7385) = 1

GCF of 7383 and 7385

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

GCF of:
and

Greatest Common Factor of 7383 and 7385

GCF of 7383 and 7385 is 1

Prime Factorization of 7383


3 7383
23 2461
107 107
1

Prime factors of 7383 are 3,23,107. Prime factorization of 7383 in exponential form is:

7383 = 31×231×1071

Prime Factorization of 7385


5 7385
7 1477
211 211
1

Prime factors of 7385 are 5,7,211. Prime factorization of 7385 in exponential form is:

7385 = 51×71×2111

∴ So by taking common prime factors GCF of 7383 and 7385 is 1

Greatest Common Factor of 7383 and 7385 by matching factors method

Factors of 7383

List of positive integer factors of 7383 that divides 7383 without a remainder.

1,3,23,69,107,321,2461,7383

Factors of 7385

List of positive integer factors of 7385 that divides 7385 without a remainder.

1,5,7,35,211,1055,1477,7385

Greatest Common Factor

We found the factors and prime factorization of 7383 and 7385. The biggest common factor number is the GCF number.
So the greatest common factor 7383 and 7385 is 1.

Also check out the Least Common Multiple of 7383 and 7385

Properties of GCF 7383 and 7385

(i) The GCF of 7383 and 7385 is associative

GCF of 7383 and 7385 = GCF of 7385 and 7383

Frequently Asked Questions on GCF of 7383 and 7385

1. What is the GCF of 7383 and 7385?

Answer: GCF of 7383 and 7385 is 1.

2. What are the Factors of 7383?

Answer: Factors of 7383 are 1, 3, 23, 69, 107, 321, 2461, 7383. There are 8 integers that are factors of 7383. The greatest factor of 7383 is 7383.

3. What are the Factors of 7385?

Answer: Factors of 7385 are 1, 5, 7, 35, 211, 1055, 1477, 7385. There are 8 integers that are factors of 7385. The greatest factor of 7385 is 7385.

4. How to Find the GCF of 7383 and 7385?

Answer:

Greatest Common Factor of 7383 and 7385 = 1

Step 1: Find the prime factorization of 7383

7383 = 3 x 23 x 107

Step 2: Find the prime factorization of 7385

7385 = 5 x 7 x 211

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 7383 and 7385 is 1