Greatest Common Factor of 10425 and 10429

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 10425, 10429 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 10425 and 10429 is 1.

GCF(10425,10429) = 1

GCF of 10425 and 10429

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

GCF of:
and

Greatest Common Factor of 10425 and 10429

GCF of 10425 and 10429 is 1

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

Prime Factorization of 10429


10429 10429
1

Prime factors of 10429 are 10429. Prime factorization of 10429 in exponential form is:

10429 = 104291

∴ So by taking common prime factors GCF of 10425 and 10429 is 1

Greatest Common Factor of 10425 and 10429 by matching factors method

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

Factors of 10429

List of positive integer factors of 10429 that divides 10429 without a remainder.

1,10429

Greatest Common Factor

We found the factors and prime factorization of 10425 and 10429. The biggest common factor number is the GCF number.
So the greatest common factor 10425 and 10429 is 1.

Also check out the Least Common Multiple of 10425 and 10429

Properties of GCF 10425 and 10429

(i) The GCF of 10425 and 10429 is associative

GCF of 10425 and 10429 = GCF of 10429 and 10425

Frequently Asked Questions on GCF of 10425 and 10429

1. What is the GCF of 10425 and 10429?

Answer: GCF of 10425 and 10429 is 1.

2. 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.

3. What are the Factors of 10429?

Answer: Factors of 10429 are 1, 10429. There are 2 integers that are factors of 10429. The greatest factor of 10429 is 10429.

4. How to Find the GCF of 10425 and 10429?

Answer:

Greatest Common Factor of 10425 and 10429 = 1

Step 1: Find the prime factorization of 10425

10425 = 3 x 5 x 5 x 139

Step 2: Find the prime factorization of 10429

10429 = 10429

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 10425 and 10429 is 1