Greatest Common Factor of 429 and 430

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 429, 430 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 429 and 430 is 1.

GCF(429,430) = 1

GCF of 429 and 430

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

GCF of:
and

Greatest Common Factor of 429 and 430

GCF of 429 and 430 is 1

Prime Factorization of 429


3 429
11 143
13 13
1

Prime factors of 429 are 3,11,13. Prime factorization of 429 in exponential form is:

429 = 31×111×131

Prime Factorization of 430


2 430
5 215
43 43
1

Prime factors of 430 are 2,5,43. Prime factorization of 430 in exponential form is:

430 = 21×51×431

∴ So by taking common prime factors GCF of 429 and 430 is 1

Greatest Common Factor of 429 and 430 by matching factors method

Factors of 429

List of positive integer factors of 429 that divides 429 without a remainder.

1,3,11,13,33,39,143,429

Factors of 430

List of positive integer factors of 430 that divides 430 without a remainder.

1,2,5,10,43,86,215,430

Greatest Common Factor

We found the factors and prime factorization of 429 and 430. The biggest common factor number is the GCF number.
So the greatest common factor 429 and 430 is 1.

Also check out the Least Common Multiple of 429 and 430

Properties of GCF 429 and 430

(i) The GCF of 429 and 430 is associative

GCF of 429 and 430 = GCF of 430 and 429

Related Greatest Common Factor of 429

Related Greatest Common Factor of 430

Frequently Asked Questions on GCF of 429 and 430

1. What is the GCF of 429 and 430?

Answer: GCF of 429 and 430 is 1.

2. What are the Factors of 429?

Answer: Factors of 429 are 1, 3, 11, 13, 33, 39, 143, 429. There are 8 integers that are factors of 429. The greatest factor of 429 is 429.

3. What are the Factors of 430?

Answer: Factors of 430 are 1, 2, 5, 10, 43, 86, 215, 430. There are 8 integers that are factors of 430. The greatest factor of 430 is 430.

4. How to Find the GCF of 429 and 430?

Answer:

Greatest Common Factor of 429 and 430 = 1

Step 1: Find the prime factorization of 429

429 = 3 x 11 x 13

Step 2: Find the prime factorization of 430

430 = 2 x 5 x 43

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 429 and 430 is 1