Greatest Common Factor of 5311 and 5319

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 5311, 5319 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5311 and 5319 is 1.

GCF(5311,5319) = 1

GCF of 5311 and 5319

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

GCF of:
and

Greatest Common Factor of 5311 and 5319

GCF of 5311 and 5319 is 1

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

Prime Factorization of 5319


3 5319
3 1773
3 591
197 197
1

Prime factors of 5319 are 3,197. Prime factorization of 5319 in exponential form is:

5319 = 33×1971

∴ So by taking common prime factors GCF of 5311 and 5319 is 1

Greatest Common Factor of 5311 and 5319 by matching factors method

Factors of 5311

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

1,47,113,5311

Factors of 5319

List of positive integer factors of 5319 that divides 5319 without a remainder.

1,3,9,27,197,591,1773,5319

Greatest Common Factor

We found the factors and prime factorization of 5311 and 5319. The biggest common factor number is the GCF number.
So the greatest common factor 5311 and 5319 is 1.

Also check out the Least Common Multiple of 5311 and 5319

Properties of GCF 5311 and 5319

(i) The GCF of 5311 and 5319 is associative

GCF of 5311 and 5319 = GCF of 5319 and 5311

Related Greatest Common Factor of 5311

Related Greatest Common Factor of 5319

Frequently Asked Questions on GCF of 5311 and 5319

1. What is the GCF of 5311 and 5319?

Answer: GCF of 5311 and 5319 is 1.

2. 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.

3. What are the Factors of 5319?

Answer: Factors of 5319 are 1, 3, 9, 27, 197, 591, 1773, 5319. There are 8 integers that are factors of 5319. The greatest factor of 5319 is 5319.

4. How to Find the GCF of 5311 and 5319?

Answer:

Greatest Common Factor of 5311 and 5319 = 1

Step 1: Find the prime factorization of 5311

5311 = 47 x 113

Step 2: Find the prime factorization of 5319

5319 = 3 x 3 x 3 x 197

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 5311 and 5319 is 1