Greatest Common Factor of 430 and 434

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 430, 434 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 430 and 434 is 2.

GCF(430,434) = 2

GCF of 430 and 434

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

GCF of:
and

Greatest Common Factor of 430 and 434

GCF of 430 and 434 is 2

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

Prime Factorization of 434


2 434
7 217
31 31
1

Prime factors of 434 are 2,7,31. Prime factorization of 434 in exponential form is:

434 = 21×71×311

∴ So by taking common prime factors GCF of 430 and 434 is 2

Greatest Common Factor of 430 and 434 by matching factors method

Factors of 430

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

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

Factors of 434

List of positive integer factors of 434 that divides 434 without a remainder.

1,2,7,14,31,62,217,434

Greatest Common Factor

We found the factors and prime factorization of 430 and 434. The biggest common factor number is the GCF number.
So the greatest common factor 430 and 434 is 2.

Also check out the Least Common Multiple of 430 and 434

Properties of GCF 430 and 434

(i) The GCF of 430 and 434 is associative

GCF of 430 and 434 = GCF of 434 and 430

Related Greatest Common Factor of 430

Related Greatest Common Factor of 434

Frequently Asked Questions on GCF of 430 and 434

1. What is the GCF of 430 and 434?

Answer: GCF of 430 and 434 is 2.

2. 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.

3. What are the Factors of 434?

Answer: Factors of 434 are 1, 2, 7, 14, 31, 62, 217, 434. There are 8 integers that are factors of 434. The greatest factor of 434 is 434.

4. How to Find the GCF of 430 and 434?

Answer:

Greatest Common Factor of 430 and 434 = 2

Step 1: Find the prime factorization of 430

430 = 2 x 5 x 43

Step 2: Find the prime factorization of 434

434 = 2 x 7 x 31

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 430 and 434 is 2