Greatest Common Factor of 434 and 442

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

Greatest common factor (GCF) of 434 and 442 is 2.

GCF(434,442) = 2

GCF of 434 and 442

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

GCF of:
and

Greatest Common Factor of 434 and 442

GCF of 434 and 442 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 442


2 442
13 221
17 17
1

Prime factors of 442 are 2,13,17. Prime factorization of 442 in exponential form is:

442 = 21×131×171

∴ So by taking common prime factors GCF of 434 and 442 is 2

Greatest Common Factor of 434 and 442 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 442

List of positive integer factors of 442 that divides 442 without a remainder.

1,2,13,17,26,34,221,442

Greatest Common Factor

We found the factors and prime factorization of 434 and 442. The biggest common factor number is the GCF number.
So the greatest common factor 434 and 442 is 2.

Also check out the Least Common Multiple of 434 and 442

Properties of GCF 434 and 442

(i) The GCF of 434 and 442 is associative

GCF of 434 and 442 = GCF of 442 and 434

Related Greatest Common Factor of 434

Related Greatest Common Factor of 442

Frequently Asked Questions on GCF of 434 and 442

1. What is the GCF of 434 and 442?

Answer: GCF of 434 and 442 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 442?

Answer: Factors of 442 are 1, 2, 13, 17, 26, 34, 221, 442. There are 8 integers that are factors of 442. The greatest factor of 442 is 442.

4. How to Find the GCF of 434 and 442?

Answer:

Greatest Common Factor of 434 and 442 = 2

Step 1: Find the prime factorization of 434

434 = 2 x 7 x 31

Step 2: Find the prime factorization of 442

442 = 2 x 13 x 17

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 442 is 2