Greatest Common Factor of 6429 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 6429, 6434 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6429 and 6434 is 1.

GCF(6429,6434) = 1

GCF of 6429 and 6434

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

GCF of:
and

Greatest Common Factor of 6429 and 6434

GCF of 6429 and 6434 is 1

Prime Factorization of 6429


3 6429
2143 2143
1

Prime factors of 6429 are 3,2143. Prime factorization of 6429 in exponential form is:

6429 = 31×21431

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 6429 and 6434 is 1

Greatest Common Factor of 6429 and 6434 by matching factors method

Factors of 6429

List of positive integer factors of 6429 that divides 6429 without a remainder.

1,3,2143,6429

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 6429 and 6434. The biggest common factor number is the GCF number.
So the greatest common factor 6429 and 6434 is 1.

Also check out the Least Common Multiple of 6429 and 6434

Properties of GCF 6429 and 6434

(i) The GCF of 6429 and 6434 is associative

GCF of 6429 and 6434 = GCF of 6434 and 6429

Frequently Asked Questions on GCF of 6429 and 6434

1. What is the GCF of 6429 and 6434?

Answer: GCF of 6429 and 6434 is 1.

2. What are the Factors of 6429?

Answer: Factors of 6429 are 1, 3, 2143, 6429. There are 4 integers that are factors of 6429. The greatest factor of 6429 is 6429.

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 6429 and 6434?

Answer:

Greatest Common Factor of 6429 and 6434 = 1

Step 1: Find the prime factorization of 6429

6429 = 3 x 2143

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 = = 1

Step 4: Therefore, the greatest common factor of 6429 and 6434 is 1