Greatest Common Factor of 428 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 428, 430 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 428 and 430 is 2.

GCF(428,430) = 2

GCF of 428 and 430

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

GCF of:
and

Greatest Common Factor of 428 and 430

GCF of 428 and 430 is 2

Prime Factorization of 428


2 428
2 214
107 107
1

Prime factors of 428 are 2,107. Prime factorization of 428 in exponential form is:

428 = 22×1071

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 428 and 430 is 2

Greatest Common Factor of 428 and 430 by matching factors method

Factors of 428

List of positive integer factors of 428 that divides 428 without a remainder.

1,2,4,107,214,428

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 428 and 430. The biggest common factor number is the GCF number.
So the greatest common factor 428 and 430 is 2.

Also check out the Least Common Multiple of 428 and 430

Properties of GCF 428 and 430

(i) The GCF of 428 and 430 is associative

GCF of 428 and 430 = GCF of 430 and 428

Related Greatest Common Factor of 428

Related Greatest Common Factor of 430

Frequently Asked Questions on GCF of 428 and 430

1. What is the GCF of 428 and 430?

Answer: GCF of 428 and 430 is 2.

2. What are the Factors of 428?

Answer: Factors of 428 are 1, 2, 4, 107, 214, 428. There are 6 integers that are factors of 428. The greatest factor of 428 is 428.

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 428 and 430?

Answer:

Greatest Common Factor of 428 and 430 = 2

Step 1: Find the prime factorization of 428

428 = 2 x 2 x 107

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 = 2

Step 4: Therefore, the greatest common factor of 428 and 430 is 2