Greatest Common Factor of 13422 and 13425

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 13422, 13425 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 13422 and 13425 is 3.

GCF(13422,13425) = 3

GCF of 13422 and 13425

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

GCF of:
and

Greatest Common Factor of 13422 and 13425

GCF of 13422 and 13425 is 3

Prime Factorization of 13422


2 13422
3 6711
2237 2237
1

Prime factors of 13422 are 2,3,2237. Prime factorization of 13422 in exponential form is:

13422 = 21×31×22371

Prime Factorization of 13425


3 13425
5 4475
5 895
179 179
1

Prime factors of 13425 are 3,5,179. Prime factorization of 13425 in exponential form is:

13425 = 31×52×1791

∴ So by taking common prime factors GCF of 13422 and 13425 is 3

Greatest Common Factor of 13422 and 13425 by matching factors method

Factors of 13422

List of positive integer factors of 13422 that divides 13422 without a remainder.

1,2,3,6,2237,4474,6711,13422

Factors of 13425

List of positive integer factors of 13425 that divides 13425 without a remainder.

1,3,5,15,25,75,179,537,895,2685,4475,13425

Greatest Common Factor

We found the factors and prime factorization of 13422 and 13425. The biggest common factor number is the GCF number.
So the greatest common factor 13422 and 13425 is 3.

Also check out the Least Common Multiple of 13422 and 13425

Properties of GCF 13422 and 13425

(i) The GCF of 13422 and 13425 is associative

GCF of 13422 and 13425 = GCF of 13425 and 13422

Related Greatest Common Factor of 13422

Related Greatest Common Factor of 13425

Frequently Asked Questions on GCF of 13422 and 13425

1. What is the GCF of 13422 and 13425?

Answer: GCF of 13422 and 13425 is 3.

2. What are the Factors of 13422?

Answer: Factors of 13422 are 1, 2, 3, 6, 2237, 4474, 6711, 13422. There are 8 integers that are factors of 13422. The greatest factor of 13422 is 13422.

3. What are the Factors of 13425?

Answer: Factors of 13425 are 1, 3, 5, 15, 25, 75, 179, 537, 895, 2685, 4475, 13425. There are 12 integers that are factors of 13425. The greatest factor of 13425 is 13425.

4. How to Find the GCF of 13422 and 13425?

Answer:

Greatest Common Factor of 13422 and 13425 = 3

Step 1: Find the prime factorization of 13422

13422 = 2 x 3 x 2237

Step 2: Find the prime factorization of 13425

13425 = 3 x 5 x 5 x 179

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 13422 and 13425 is 3