Greatest Common Factor of 10422 and 10425

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 10422, 10425 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 10422 and 10425 is 3.

GCF(10422,10425) = 3

GCF of 10422 and 10425

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

GCF of:
and

Greatest Common Factor of 10422 and 10425

GCF of 10422 and 10425 is 3

Prime Factorization of 10422


2 10422
3 5211
3 1737
3 579
193 193
1

Prime factors of 10422 are 2,3,193. Prime factorization of 10422 in exponential form is:

10422 = 21×33×1931

Prime Factorization of 10425


3 10425
5 3475
5 695
139 139
1

Prime factors of 10425 are 3,5,139. Prime factorization of 10425 in exponential form is:

10425 = 31×52×1391

∴ So by taking common prime factors GCF of 10422 and 10425 is 3

Greatest Common Factor of 10422 and 10425 by matching factors method

Factors of 10422

List of positive integer factors of 10422 that divides 10422 without a remainder.

1,2,3,6,9,18,27,54,193,386,579,1158,1737,3474,5211,10422

Factors of 10425

List of positive integer factors of 10425 that divides 10425 without a remainder.

1,3,5,15,25,75,139,417,695,2085,3475,10425

Greatest Common Factor

We found the factors and prime factorization of 10422 and 10425. The biggest common factor number is the GCF number.
So the greatest common factor 10422 and 10425 is 3.

Also check out the Least Common Multiple of 10422 and 10425

Properties of GCF 10422 and 10425

(i) The GCF of 10422 and 10425 is associative

GCF of 10422 and 10425 = GCF of 10425 and 10422

Related Greatest Common Factor of 10422

Related Greatest Common Factor of 10425

Frequently Asked Questions on GCF of 10422 and 10425

1. What is the GCF of 10422 and 10425?

Answer: GCF of 10422 and 10425 is 3.

2. What are the Factors of 10422?

Answer: Factors of 10422 are 1, 2, 3, 6, 9, 18, 27, 54, 193, 386, 579, 1158, 1737, 3474, 5211, 10422. There are 16 integers that are factors of 10422. The greatest factor of 10422 is 10422.

3. What are the Factors of 10425?

Answer: Factors of 10425 are 1, 3, 5, 15, 25, 75, 139, 417, 695, 2085, 3475, 10425. There are 12 integers that are factors of 10425. The greatest factor of 10425 is 10425.

4. How to Find the GCF of 10422 and 10425?

Answer:

Greatest Common Factor of 10422 and 10425 = 3

Step 1: Find the prime factorization of 10422

10422 = 2 x 3 x 3 x 3 x 193

Step 2: Find the prime factorization of 10425

10425 = 3 x 5 x 5 x 139

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 10422 and 10425 is 3