Greatest Common Factor of 6426 and 6434

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 6426, 6434 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6426 and 6434 is 2.

GCF(6426,6434) = 2

GCF of 6426 and 6434

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

GCF of:
and

Greatest Common Factor of 6426 and 6434

GCF of 6426 and 6434 is 2

Prime Factorization of 6426


2 6426
3 3213
3 1071
3 357
7 119
17 17
1

Prime factors of 6426 are 2,3,7,17. Prime factorization of 6426 in exponential form is:

6426 = 21×33×71×171

Prime Factorization of 6434


2 6434
3217 3217
1

Prime factors of 6434 are 2,3217. Prime factorization of 6434 in exponential form is:

6434 = 21×32171

∴ So by taking common prime factors GCF of 6426 and 6434 is 2

Greatest Common Factor of 6426 and 6434 by matching factors method

Factors of 6426

List of positive integer factors of 6426 that divides 6426 without a remainder.

1,2,3,6,7,9,14,17,18,21,27,34,42,51,54,63,102,119,126,153,189,238,306,357,378,459,714,918,1071,2142,3213,6426

Factors of 6434

List of positive integer factors of 6434 that divides 6434 without a remainder.

1,2,3217,6434

Greatest Common Factor

We found the factors and prime factorization of 6426 and 6434. The biggest common factor number is the GCF number.
So the greatest common factor 6426 and 6434 is 2.

Also check out the Least Common Multiple of 6426 and 6434

Properties of GCF 6426 and 6434

(i) The GCF of 6426 and 6434 is associative

GCF of 6426 and 6434 = GCF of 6434 and 6426

Related Greatest Common Factor of 6426

Related Greatest Common Factor of 6434

Frequently Asked Questions on GCF of 6426 and 6434

1. What is the GCF of 6426 and 6434?

Answer: GCF of 6426 and 6434 is 2.

2. What are the Factors of 6426?

Answer: Factors of 6426 are 1, 2, 3, 6, 7, 9, 14, 17, 18, 21, 27, 34, 42, 51, 54, 63, 102, 119, 126, 153, 189, 238, 306, 357, 378, 459, 714, 918, 1071, 2142, 3213, 6426. There are 32 integers that are factors of 6426. The greatest factor of 6426 is 6426.

3. What are the Factors of 6434?

Answer: Factors of 6434 are 1, 2, 3217, 6434. There are 4 integers that are factors of 6434. The greatest factor of 6434 is 6434.

4. How to Find the GCF of 6426 and 6434?

Answer:

Greatest Common Factor of 6426 and 6434 = 2

Step 1: Find the prime factorization of 6426

6426 = 2 x 3 x 3 x 3 x 7 x 17

Step 2: Find the prime factorization of 6434

6434 = 2 x 3217

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 6426 and 6434 is 2