Greatest Common Factor of 6365 and 6371

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 6365, 6371 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6365 and 6371 is 1.

GCF(6365,6371) = 1

GCF of 6365 and 6371

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

GCF of:
and

Greatest Common Factor of 6365 and 6371

GCF of 6365 and 6371 is 1

Prime Factorization of 6365


5 6365
19 1273
67 67
1

Prime factors of 6365 are 5,19,67. Prime factorization of 6365 in exponential form is:

6365 = 51×191×671

Prime Factorization of 6371


23 6371
277 277
1

Prime factors of 6371 are 23,277. Prime factorization of 6371 in exponential form is:

6371 = 231×2771

∴ So by taking common prime factors GCF of 6365 and 6371 is 1

Greatest Common Factor of 6365 and 6371 by matching factors method

Factors of 6365

List of positive integer factors of 6365 that divides 6365 without a remainder.

1,5,19,67,95,335,1273,6365

Factors of 6371

List of positive integer factors of 6371 that divides 6371 without a remainder.

1,23,277,6371

Greatest Common Factor

We found the factors and prime factorization of 6365 and 6371. The biggest common factor number is the GCF number.
So the greatest common factor 6365 and 6371 is 1.

Also check out the Least Common Multiple of 6365 and 6371

Properties of GCF 6365 and 6371

(i) The GCF of 6365 and 6371 is associative

GCF of 6365 and 6371 = GCF of 6371 and 6365

Related Greatest Common Factor of 6365

Related Greatest Common Factor of 6371

Frequently Asked Questions on GCF of 6365 and 6371

1. What is the GCF of 6365 and 6371?

Answer: GCF of 6365 and 6371 is 1.

2. What are the Factors of 6365?

Answer: Factors of 6365 are 1, 5, 19, 67, 95, 335, 1273, 6365. There are 8 integers that are factors of 6365. The greatest factor of 6365 is 6365.

3. What are the Factors of 6371?

Answer: Factors of 6371 are 1, 23, 277, 6371. There are 4 integers that are factors of 6371. The greatest factor of 6371 is 6371.

4. How to Find the GCF of 6365 and 6371?

Answer:

Greatest Common Factor of 6365 and 6371 = 1

Step 1: Find the prime factorization of 6365

6365 = 5 x 19 x 67

Step 2: Find the prime factorization of 6371

6371 = 23 x 277

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 6365 and 6371 is 1