Greatest Common Factor of 15423 and 15429

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 15423, 15429 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 15423 and 15429 is 3.

GCF(15423,15429) = 3

GCF of 15423 and 15429

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

GCF of:
and

Greatest Common Factor of 15423 and 15429

GCF of 15423 and 15429 is 3

Prime Factorization of 15423


3 15423
53 5141
97 97
1

Prime factors of 15423 are 3,53,97. Prime factorization of 15423 in exponential form is:

15423 = 31×531×971

Prime Factorization of 15429


3 15429
37 5143
139 139
1

Prime factors of 15429 are 3,37,139. Prime factorization of 15429 in exponential form is:

15429 = 31×371×1391

∴ So by taking common prime factors GCF of 15423 and 15429 is 3

Greatest Common Factor of 15423 and 15429 by matching factors method

Factors of 15423

List of positive integer factors of 15423 that divides 15423 without a remainder.

1,3,53,97,159,291,5141,15423

Factors of 15429

List of positive integer factors of 15429 that divides 15429 without a remainder.

1,3,37,111,139,417,5143,15429

Greatest Common Factor

We found the factors and prime factorization of 15423 and 15429. The biggest common factor number is the GCF number.
So the greatest common factor 15423 and 15429 is 3.

Also check out the Least Common Multiple of 15423 and 15429

Properties of GCF 15423 and 15429

(i) The GCF of 15423 and 15429 is associative

GCF of 15423 and 15429 = GCF of 15429 and 15423

Related Greatest Common Factor of 15423

Related Greatest Common Factor of 15429

Frequently Asked Questions on GCF of 15423 and 15429

1. What is the GCF of 15423 and 15429?

Answer: GCF of 15423 and 15429 is 3.

2. What are the Factors of 15423?

Answer: Factors of 15423 are 1, 3, 53, 97, 159, 291, 5141, 15423. There are 8 integers that are factors of 15423. The greatest factor of 15423 is 15423.

3. What are the Factors of 15429?

Answer: Factors of 15429 are 1, 3, 37, 111, 139, 417, 5143, 15429. There are 8 integers that are factors of 15429. The greatest factor of 15429 is 15429.

4. How to Find the GCF of 15423 and 15429?

Answer:

Greatest Common Factor of 15423 and 15429 = 3

Step 1: Find the prime factorization of 15423

15423 = 3 x 53 x 97

Step 2: Find the prime factorization of 15429

15429 = 3 x 37 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 15423 and 15429 is 3