Greatest Common Factor of 5331 and 5338

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 5331, 5338 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5331 and 5338 is 1.

GCF(5331,5338) = 1

GCF of 5331 and 5338

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

GCF of:
and

Greatest Common Factor of 5331 and 5338

GCF of 5331 and 5338 is 1

Prime Factorization of 5331


3 5331
1777 1777
1

Prime factors of 5331 are 3,1777. Prime factorization of 5331 in exponential form is:

5331 = 31×17771

Prime Factorization of 5338


2 5338
17 2669
157 157
1

Prime factors of 5338 are 2,17,157. Prime factorization of 5338 in exponential form is:

5338 = 21×171×1571

∴ So by taking common prime factors GCF of 5331 and 5338 is 1

Greatest Common Factor of 5331 and 5338 by matching factors method

Factors of 5331

List of positive integer factors of 5331 that divides 5331 without a remainder.

1,3,1777,5331

Factors of 5338

List of positive integer factors of 5338 that divides 5338 without a remainder.

1,2,17,34,157,314,2669,5338

Greatest Common Factor

We found the factors and prime factorization of 5331 and 5338. The biggest common factor number is the GCF number.
So the greatest common factor 5331 and 5338 is 1.

Also check out the Least Common Multiple of 5331 and 5338

Properties of GCF 5331 and 5338

(i) The GCF of 5331 and 5338 is associative

GCF of 5331 and 5338 = GCF of 5338 and 5331

Related Greatest Common Factor of 5331

Related Greatest Common Factor of 5338

Frequently Asked Questions on GCF of 5331 and 5338

1. What is the GCF of 5331 and 5338?

Answer: GCF of 5331 and 5338 is 1.

2. What are the Factors of 5331?

Answer: Factors of 5331 are 1, 3, 1777, 5331. There are 4 integers that are factors of 5331. The greatest factor of 5331 is 5331.

3. What are the Factors of 5338?

Answer: Factors of 5338 are 1, 2, 17, 34, 157, 314, 2669, 5338. There are 8 integers that are factors of 5338. The greatest factor of 5338 is 5338.

4. How to Find the GCF of 5331 and 5338?

Answer:

Greatest Common Factor of 5331 and 5338 = 1

Step 1: Find the prime factorization of 5331

5331 = 3 x 1777

Step 2: Find the prime factorization of 5338

5338 = 2 x 17 x 157

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 5331 and 5338 is 1