Greatest Common Factor of 5305 and 5311

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 5305, 5311 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5305 and 5311 is 1.

GCF(5305,5311) = 1

GCF of 5305 and 5311

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

GCF of:
and

Greatest Common Factor of 5305 and 5311

GCF of 5305 and 5311 is 1

Prime Factorization of 5305


5 5305
1061 1061
1

Prime factors of 5305 are 5,1061. Prime factorization of 5305 in exponential form is:

5305 = 51×10611

Prime Factorization of 5311


47 5311
113 113
1

Prime factors of 5311 are 47,113. Prime factorization of 5311 in exponential form is:

5311 = 471×1131

∴ So by taking common prime factors GCF of 5305 and 5311 is 1

Greatest Common Factor of 5305 and 5311 by matching factors method

Factors of 5305

List of positive integer factors of 5305 that divides 5305 without a remainder.

1,5,1061,5305

Factors of 5311

List of positive integer factors of 5311 that divides 5311 without a remainder.

1,47,113,5311

Greatest Common Factor

We found the factors and prime factorization of 5305 and 5311. The biggest common factor number is the GCF number.
So the greatest common factor 5305 and 5311 is 1.

Also check out the Least Common Multiple of 5305 and 5311

Properties of GCF 5305 and 5311

(i) The GCF of 5305 and 5311 is associative

GCF of 5305 and 5311 = GCF of 5311 and 5305

Related Greatest Common Factor of 5305

Related Greatest Common Factor of 5311

Frequently Asked Questions on GCF of 5305 and 5311

1. What is the GCF of 5305 and 5311?

Answer: GCF of 5305 and 5311 is 1.

2. What are the Factors of 5305?

Answer: Factors of 5305 are 1, 5, 1061, 5305. There are 4 integers that are factors of 5305. The greatest factor of 5305 is 5305.

3. What are the Factors of 5311?

Answer: Factors of 5311 are 1, 47, 113, 5311. There are 4 integers that are factors of 5311. The greatest factor of 5311 is 5311.

4. How to Find the GCF of 5305 and 5311?

Answer:

Greatest Common Factor of 5305 and 5311 = 1

Step 1: Find the prime factorization of 5305

5305 = 5 x 1061

Step 2: Find the prime factorization of 5311

5311 = 47 x 113

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 5305 and 5311 is 1