Greatest Common Factor of 5321 and 5327

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 5321, 5327 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5321 and 5327 is 1.

GCF(5321,5327) = 1

GCF of 5321 and 5327

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

GCF of:
and

Greatest Common Factor of 5321 and 5327

GCF of 5321 and 5327 is 1

Prime Factorization of 5321


17 5321
313 313
1

Prime factors of 5321 are 17,313. Prime factorization of 5321 in exponential form is:

5321 = 171×3131

Prime Factorization of 5327


7 5327
761 761
1

Prime factors of 5327 are 7,761. Prime factorization of 5327 in exponential form is:

5327 = 71×7611

∴ So by taking common prime factors GCF of 5321 and 5327 is 1

Greatest Common Factor of 5321 and 5327 by matching factors method

Factors of 5321

List of positive integer factors of 5321 that divides 5321 without a remainder.

1,17,313,5321

Factors of 5327

List of positive integer factors of 5327 that divides 5327 without a remainder.

1,7,761,5327

Greatest Common Factor

We found the factors and prime factorization of 5321 and 5327. The biggest common factor number is the GCF number.
So the greatest common factor 5321 and 5327 is 1.

Also check out the Least Common Multiple of 5321 and 5327

Properties of GCF 5321 and 5327

(i) The GCF of 5321 and 5327 is associative

GCF of 5321 and 5327 = GCF of 5327 and 5321

Related Greatest Common Factor of 5321

Related Greatest Common Factor of 5327

Frequently Asked Questions on GCF of 5321 and 5327

1. What is the GCF of 5321 and 5327?

Answer: GCF of 5321 and 5327 is 1.

2. What are the Factors of 5321?

Answer: Factors of 5321 are 1, 17, 313, 5321. There are 4 integers that are factors of 5321. The greatest factor of 5321 is 5321.

3. What are the Factors of 5327?

Answer: Factors of 5327 are 1, 7, 761, 5327. There are 4 integers that are factors of 5327. The greatest factor of 5327 is 5327.

4. How to Find the GCF of 5321 and 5327?

Answer:

Greatest Common Factor of 5321 and 5327 = 1

Step 1: Find the prime factorization of 5321

5321 = 17 x 313

Step 2: Find the prime factorization of 5327

5327 = 7 x 761

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 5321 and 5327 is 1