Greatest Common Factor of 8365 and 8372

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 8365, 8372 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8365 and 8372 is 7.

GCF(8365,8372) = 7

GCF of 8365 and 8372

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

GCF of:
and

Greatest Common Factor of 8365 and 8372

GCF of 8365 and 8372 is 7

Prime Factorization of 8365


5 8365
7 1673
239 239
1

Prime factors of 8365 are 5,7,239. Prime factorization of 8365 in exponential form is:

8365 = 51×71×2391

Prime Factorization of 8372


2 8372
2 4186
7 2093
13 299
23 23
1

Prime factors of 8372 are 2,7,13,23. Prime factorization of 8372 in exponential form is:

8372 = 22×71×131×231

∴ So by taking common prime factors GCF of 8365 and 8372 is 7

Greatest Common Factor of 8365 and 8372 by matching factors method

Factors of 8365

List of positive integer factors of 8365 that divides 8365 without a remainder.

1,5,7,35,239,1195,1673,8365

Factors of 8372

List of positive integer factors of 8372 that divides 8372 without a remainder.

1,2,4,7,13,14,23,26,28,46,52,91,92,161,182,299,322,364,598,644,1196,2093,4186,8372

Greatest Common Factor

We found the factors and prime factorization of 8365 and 8372. The biggest common factor number is the GCF number.
So the greatest common factor 8365 and 8372 is 7.

Also check out the Least Common Multiple of 8365 and 8372

Properties of GCF 8365 and 8372

(i) The GCF of 8365 and 8372 is associative

GCF of 8365 and 8372 = GCF of 8372 and 8365

Related Greatest Common Factor of 8365

Related Greatest Common Factor of 8372

Frequently Asked Questions on GCF of 8365 and 8372

1. What is the GCF of 8365 and 8372?

Answer: GCF of 8365 and 8372 is 7.

2. What are the Factors of 8365?

Answer: Factors of 8365 are 1, 5, 7, 35, 239, 1195, 1673, 8365. There are 8 integers that are factors of 8365. The greatest factor of 8365 is 8365.

3. What are the Factors of 8372?

Answer: Factors of 8372 are 1, 2, 4, 7, 13, 14, 23, 26, 28, 46, 52, 91, 92, 161, 182, 299, 322, 364, 598, 644, 1196, 2093, 4186, 8372. There are 24 integers that are factors of 8372. The greatest factor of 8372 is 8372.

4. How to Find the GCF of 8365 and 8372?

Answer:

Greatest Common Factor of 8365 and 8372 = 7

Step 1: Find the prime factorization of 8365

8365 = 5 x 7 x 239

Step 2: Find the prime factorization of 8372

8372 = 2 x 2 x 7 x 13 x 23

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 7

Step 4: Therefore, the greatest common factor of 8365 and 8372 is 7