Greatest Common Factor of 5322 and 5325

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, 5325 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5322 and 5325 is 3.

GCF(5322,5325) = 3

GCF of 5322 and 5325

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

GCF of:
and

Greatest Common Factor of 5322 and 5325

GCF of 5322 and 5325 is 3

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 5325


3 5325
5 1775
5 355
71 71
1

Prime factors of 5325 are 3,5,71. Prime factorization of 5325 in exponential form is:

5325 = 31×52×711

∴ So by taking common prime factors GCF of 5322 and 5325 is 3

Greatest Common Factor of 5322 and 5325 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 5325

List of positive integer factors of 5325 that divides 5325 without a remainder.

1,3,5,15,25,71,75,213,355,1065,1775,5325

Greatest Common Factor

We found the factors and prime factorization of 5322 and 5325. The biggest common factor number is the GCF number.
So the greatest common factor 5322 and 5325 is 3.

Also check out the Least Common Multiple of 5322 and 5325

Properties of GCF 5322 and 5325

(i) The GCF of 5322 and 5325 is associative

GCF of 5322 and 5325 = GCF of 5325 and 5322

Related Greatest Common Factor of 5322

Related Greatest Common Factor of 5325

Frequently Asked Questions on GCF of 5322 and 5325

1. What is the GCF of 5322 and 5325?

Answer: GCF of 5322 and 5325 is 3.

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 5325?

Answer: Factors of 5325 are 1, 3, 5, 15, 25, 71, 75, 213, 355, 1065, 1775, 5325. There are 12 integers that are factors of 5325. The greatest factor of 5325 is 5325.

4. How to Find the GCF of 5322 and 5325?

Answer:

Greatest Common Factor of 5322 and 5325 = 3

Step 1: Find the prime factorization of 5322

5322 = 2 x 3 x 887

Step 2: Find the prime factorization of 5325

5325 = 3 x 5 x 5 x 71

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

GCF = 3

Step 4: Therefore, the greatest common factor of 5322 and 5325 is 3