Greatest Common Factor of 6430 and 6435

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 6430, 6435 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6430 and 6435 is 5.

GCF(6430,6435) = 5

GCF of 6430 and 6435

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

GCF of:
and

Greatest Common Factor of 6430 and 6435

GCF of 6430 and 6435 is 5

Prime Factorization of 6430


2 6430
5 3215
643 643
1

Prime factors of 6430 are 2,5,643. Prime factorization of 6430 in exponential form is:

6430 = 21×51×6431

Prime Factorization of 6435


3 6435
3 2145
5 715
11 143
13 13
1

Prime factors of 6435 are 3,5,11,13. Prime factorization of 6435 in exponential form is:

6435 = 32×51×111×131

∴ So by taking common prime factors GCF of 6430 and 6435 is 5

Greatest Common Factor of 6430 and 6435 by matching factors method

Factors of 6430

List of positive integer factors of 6430 that divides 6430 without a remainder.

1,2,5,10,643,1286,3215,6430

Factors of 6435

List of positive integer factors of 6435 that divides 6435 without a remainder.

1,3,5,9,11,13,15,33,39,45,55,65,99,117,143,165,195,429,495,585,715,1287,2145,6435

Greatest Common Factor

We found the factors and prime factorization of 6430 and 6435. The biggest common factor number is the GCF number.
So the greatest common factor 6430 and 6435 is 5.

Also check out the Least Common Multiple of 6430 and 6435

Properties of GCF 6430 and 6435

(i) The GCF of 6430 and 6435 is associative

GCF of 6430 and 6435 = GCF of 6435 and 6430

Related Greatest Common Factor of 6430

Related Greatest Common Factor of 6435

Frequently Asked Questions on GCF of 6430 and 6435

1. What is the GCF of 6430 and 6435?

Answer: GCF of 6430 and 6435 is 5.

2. What are the Factors of 6430?

Answer: Factors of 6430 are 1, 2, 5, 10, 643, 1286, 3215, 6430. There are 8 integers that are factors of 6430. The greatest factor of 6430 is 6430.

3. What are the Factors of 6435?

Answer: Factors of 6435 are 1, 3, 5, 9, 11, 13, 15, 33, 39, 45, 55, 65, 99, 117, 143, 165, 195, 429, 495, 585, 715, 1287, 2145, 6435. There are 24 integers that are factors of 6435. The greatest factor of 6435 is 6435.

4. How to Find the GCF of 6430 and 6435?

Answer:

Greatest Common Factor of 6430 and 6435 = 5

Step 1: Find the prime factorization of 6430

6430 = 2 x 5 x 643

Step 2: Find the prime factorization of 6435

6435 = 3 x 3 x 5 x 11 x 13

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

GCF = 5

Step 4: Therefore, the greatest common factor of 6430 and 6435 is 5