Greatest Common Factor of 428 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 428, 434 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 428 and 434 is 2.

GCF(428,434) = 2

GCF of 428 and 434

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

GCF of:
and

Greatest Common Factor of 428 and 434

GCF of 428 and 434 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 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 428 and 434 is 2

Greatest Common Factor of 428 and 434 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 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 428 and 434. The biggest common factor number is the GCF number.
So the greatest common factor 428 and 434 is 2.

Also check out the Least Common Multiple of 428 and 434

Properties of GCF 428 and 434

(i) The GCF of 428 and 434 is associative

GCF of 428 and 434 = GCF of 434 and 428

Related Greatest Common Factor of 428

Related Greatest Common Factor of 434

Frequently Asked Questions on GCF of 428 and 434

1. What is the GCF of 428 and 434?

Answer: GCF of 428 and 434 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 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 428 and 434?

Answer:

Greatest Common Factor of 428 and 434 = 2

Step 1: Find the prime factorization of 428

428 = 2 x 2 x 107

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 428 and 434 is 2