Greatest Common Factor of 6355 and 6361

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 6355, 6361 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6355 and 6361 is 1.

GCF(6355,6361) = 1

GCF of 6355 and 6361

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

GCF of:
and

Greatest Common Factor of 6355 and 6361

GCF of 6355 and 6361 is 1

Prime Factorization of 6355


5 6355
31 1271
41 41
1

Prime factors of 6355 are 5,31,41. Prime factorization of 6355 in exponential form is:

6355 = 51×311×411

Prime Factorization of 6361


6361 6361
1

Prime factors of 6361 are 6361. Prime factorization of 6361 in exponential form is:

6361 = 63611

∴ So by taking common prime factors GCF of 6355 and 6361 is 1

Greatest Common Factor of 6355 and 6361 by matching factors method

Factors of 6355

List of positive integer factors of 6355 that divides 6355 without a remainder.

1,5,31,41,155,205,1271,6355

Factors of 6361

List of positive integer factors of 6361 that divides 6361 without a remainder.

1,6361

Greatest Common Factor

We found the factors and prime factorization of 6355 and 6361. The biggest common factor number is the GCF number.
So the greatest common factor 6355 and 6361 is 1.

Also check out the Least Common Multiple of 6355 and 6361

Properties of GCF 6355 and 6361

(i) The GCF of 6355 and 6361 is associative

GCF of 6355 and 6361 = GCF of 6361 and 6355

Frequently Asked Questions on GCF of 6355 and 6361

1. What is the GCF of 6355 and 6361?

Answer: GCF of 6355 and 6361 is 1.

2. What are the Factors of 6355?

Answer: Factors of 6355 are 1, 5, 31, 41, 155, 205, 1271, 6355. There are 8 integers that are factors of 6355. The greatest factor of 6355 is 6355.

3. What are the Factors of 6361?

Answer: Factors of 6361 are 1, 6361. There are 2 integers that are factors of 6361. The greatest factor of 6361 is 6361.

4. How to Find the GCF of 6355 and 6361?

Answer:

Greatest Common Factor of 6355 and 6361 = 1

Step 1: Find the prime factorization of 6355

6355 = 5 x 31 x 41

Step 2: Find the prime factorization of 6361

6361 = 6361

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 6355 and 6361 is 1