Greatest Common Factor of 15426 and 15434

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 15426, 15434 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 15426 and 15434 is 2.

GCF(15426,15434) = 2

GCF of 15426 and 15434

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

GCF of:
and

Greatest Common Factor of 15426 and 15434

GCF of 15426 and 15434 is 2

Prime Factorization of 15426


2 15426
3 7713
3 2571
857 857
1

Prime factors of 15426 are 2,3,857. Prime factorization of 15426 in exponential form is:

15426 = 21×32×8571

Prime Factorization of 15434


2 15434
7717 7717
1

Prime factors of 15434 are 2,7717. Prime factorization of 15434 in exponential form is:

15434 = 21×77171

∴ So by taking common prime factors GCF of 15426 and 15434 is 2

Greatest Common Factor of 15426 and 15434 by matching factors method

Factors of 15426

List of positive integer factors of 15426 that divides 15426 without a remainder.

1,2,3,6,9,18,857,1714,2571,5142,7713,15426

Factors of 15434

List of positive integer factors of 15434 that divides 15434 without a remainder.

1,2,7717,15434

Greatest Common Factor

We found the factors and prime factorization of 15426 and 15434. The biggest common factor number is the GCF number.
So the greatest common factor 15426 and 15434 is 2.

Also check out the Least Common Multiple of 15426 and 15434

Properties of GCF 15426 and 15434

(i) The GCF of 15426 and 15434 is associative

GCF of 15426 and 15434 = GCF of 15434 and 15426

Related Greatest Common Factor of 15426

Related Greatest Common Factor of 15434

Frequently Asked Questions on GCF of 15426 and 15434

1. What is the GCF of 15426 and 15434?

Answer: GCF of 15426 and 15434 is 2.

2. What are the Factors of 15426?

Answer: Factors of 15426 are 1, 2, 3, 6, 9, 18, 857, 1714, 2571, 5142, 7713, 15426. There are 12 integers that are factors of 15426. The greatest factor of 15426 is 15426.

3. What are the Factors of 15434?

Answer: Factors of 15434 are 1, 2, 7717, 15434. There are 4 integers that are factors of 15434. The greatest factor of 15434 is 15434.

4. How to Find the GCF of 15426 and 15434?

Answer:

Greatest Common Factor of 15426 and 15434 = 2

Step 1: Find the prime factorization of 15426

15426 = 2 x 3 x 3 x 857

Step 2: Find the prime factorization of 15434

15434 = 2 x 7717

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

GCF = 2

Step 4: Therefore, the greatest common factor of 15426 and 15434 is 2