Greatest Common Factor of 5322 and 5330

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 5322, 5330 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5322 and 5330 is 2.

GCF(5322,5330) = 2

GCF of 5322 and 5330

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

GCF of:
and

Greatest Common Factor of 5322 and 5330

GCF of 5322 and 5330 is 2

Prime Factorization of 5322


2 5322
3 2661
887 887
1

Prime factors of 5322 are 2,3,887. Prime factorization of 5322 in exponential form is:

5322 = 21×31×8871

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

∴ So by taking common prime factors GCF of 5322 and 5330 is 2

Greatest Common Factor of 5322 and 5330 by matching factors method

Factors of 5322

List of positive integer factors of 5322 that divides 5322 without a remainder.

1,2,3,6,887,1774,2661,5322

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

Greatest Common Factor

We found the factors and prime factorization of 5322 and 5330. The biggest common factor number is the GCF number.
So the greatest common factor 5322 and 5330 is 2.

Also check out the Least Common Multiple of 5322 and 5330

Properties of GCF 5322 and 5330

(i) The GCF of 5322 and 5330 is associative

GCF of 5322 and 5330 = GCF of 5330 and 5322

Related Greatest Common Factor of 5322

Related Greatest Common Factor of 5330

Frequently Asked Questions on GCF of 5322 and 5330

1. What is the GCF of 5322 and 5330?

Answer: GCF of 5322 and 5330 is 2.

2. What are the Factors of 5322?

Answer: Factors of 5322 are 1, 2, 3, 6, 887, 1774, 2661, 5322. There are 8 integers that are factors of 5322. The greatest factor of 5322 is 5322.

3. 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.

4. How to Find the GCF of 5322 and 5330?

Answer:

Greatest Common Factor of 5322 and 5330 = 2

Step 1: Find the prime factorization of 5322

5322 = 2 x 3 x 887

Step 2: Find the prime factorization of 5330

5330 = 2 x 5 x 13 x 41

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

GCF = 2

Step 4: Therefore, the greatest common factor of 5322 and 5330 is 2