Greatest Common Factor of 434 and 438

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 434, 438 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 434 and 438 is 2.

GCF(434,438) = 2

GCF of 434 and 438

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

GCF of:
and

Greatest Common Factor of 434 and 438

GCF of 434 and 438 is 2

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

Prime Factorization of 438


2 438
3 219
73 73
1

Prime factors of 438 are 2,3,73. Prime factorization of 438 in exponential form is:

438 = 21×31×731

∴ So by taking common prime factors GCF of 434 and 438 is 2

Greatest Common Factor of 434 and 438 by matching factors method

Factors of 434

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

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

Factors of 438

List of positive integer factors of 438 that divides 438 without a remainder.

1,2,3,6,73,146,219,438

Greatest Common Factor

We found the factors and prime factorization of 434 and 438. The biggest common factor number is the GCF number.
So the greatest common factor 434 and 438 is 2.

Also check out the Least Common Multiple of 434 and 438

Properties of GCF 434 and 438

(i) The GCF of 434 and 438 is associative

GCF of 434 and 438 = GCF of 438 and 434

Related Greatest Common Factor of 434

Related Greatest Common Factor of 438

Frequently Asked Questions on GCF of 434 and 438

1. What is the GCF of 434 and 438?

Answer: GCF of 434 and 438 is 2.

2. 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.

3. What are the Factors of 438?

Answer: Factors of 438 are 1, 2, 3, 6, 73, 146, 219, 438. There are 8 integers that are factors of 438. The greatest factor of 438 is 438.

4. How to Find the GCF of 434 and 438?

Answer:

Greatest Common Factor of 434 and 438 = 2

Step 1: Find the prime factorization of 434

434 = 2 x 7 x 31

Step 2: Find the prime factorization of 438

438 = 2 x 3 x 73

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 434 and 438 is 2