Greatest Common Factor of 5330 and 5335

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 5330, 5335 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5330 and 5335 is 5.

GCF(5330,5335) = 5

GCF of 5330 and 5335

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

GCF of:
and

Greatest Common Factor of 5330 and 5335

GCF of 5330 and 5335 is 5

Prime Factorization of 5330


2 5330
5 2665
13 533
41 41
1

Prime factors of 5330 are 2,5,13,41. Prime factorization of 5330 in exponential form is:

5330 = 21×51×131×411

Prime Factorization of 5335


5 5335
11 1067
97 97
1

Prime factors of 5335 are 5,11,97. Prime factorization of 5335 in exponential form is:

5335 = 51×111×971

∴ So by taking common prime factors GCF of 5330 and 5335 is 5

Greatest Common Factor of 5330 and 5335 by matching factors method

Factors of 5330

List of positive integer factors of 5330 that divides 5330 without a remainder.

1,2,5,10,13,26,41,65,82,130,205,410,533,1066,2665,5330

Factors of 5335

List of positive integer factors of 5335 that divides 5335 without a remainder.

1,5,11,55,97,485,1067,5335

Greatest Common Factor

We found the factors and prime factorization of 5330 and 5335. The biggest common factor number is the GCF number.
So the greatest common factor 5330 and 5335 is 5.

Also check out the Least Common Multiple of 5330 and 5335

Properties of GCF 5330 and 5335

(i) The GCF of 5330 and 5335 is associative

GCF of 5330 and 5335 = GCF of 5335 and 5330

Related Greatest Common Factor of 5330

Related Greatest Common Factor of 5335

Frequently Asked Questions on GCF of 5330 and 5335

1. What is the GCF of 5330 and 5335?

Answer: GCF of 5330 and 5335 is 5.

2. What are the Factors of 5330?

Answer: Factors of 5330 are 1, 2, 5, 10, 13, 26, 41, 65, 82, 130, 205, 410, 533, 1066, 2665, 5330. There are 16 integers that are factors of 5330. The greatest factor of 5330 is 5330.

3. What are the Factors of 5335?

Answer: Factors of 5335 are 1, 5, 11, 55, 97, 485, 1067, 5335. There are 8 integers that are factors of 5335. The greatest factor of 5335 is 5335.

4. How to Find the GCF of 5330 and 5335?

Answer:

Greatest Common Factor of 5330 and 5335 = 5

Step 1: Find the prime factorization of 5330

5330 = 2 x 5 x 13 x 41

Step 2: Find the prime factorization of 5335

5335 = 5 x 11 x 97

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 5

Step 4: Therefore, the greatest common factor of 5330 and 5335 is 5