Greatest Common Factor of 9434 and 9442

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 9434, 9442 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9434 and 9442 is 2.

GCF(9434,9442) = 2

GCF of 9434 and 9442

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

GCF of:
and

Greatest Common Factor of 9434 and 9442

GCF of 9434 and 9442 is 2

Prime Factorization of 9434


2 9434
53 4717
89 89
1

Prime factors of 9434 are 2,53,89. Prime factorization of 9434 in exponential form is:

9434 = 21×531×891

Prime Factorization of 9442


2 9442
4721 4721
1

Prime factors of 9442 are 2,4721. Prime factorization of 9442 in exponential form is:

9442 = 21×47211

∴ So by taking common prime factors GCF of 9434 and 9442 is 2

Greatest Common Factor of 9434 and 9442 by matching factors method

Factors of 9434

List of positive integer factors of 9434 that divides 9434 without a remainder.

1,2,53,89,106,178,4717,9434

Factors of 9442

List of positive integer factors of 9442 that divides 9442 without a remainder.

1,2,4721,9442

Greatest Common Factor

We found the factors and prime factorization of 9434 and 9442. The biggest common factor number is the GCF number.
So the greatest common factor 9434 and 9442 is 2.

Also check out the Least Common Multiple of 9434 and 9442

Properties of GCF 9434 and 9442

(i) The GCF of 9434 and 9442 is associative

GCF of 9434 and 9442 = GCF of 9442 and 9434

Related Greatest Common Factor of 9434

Related Greatest Common Factor of 9442

Frequently Asked Questions on GCF of 9434 and 9442

1. What is the GCF of 9434 and 9442?

Answer: GCF of 9434 and 9442 is 2.

2. What are the Factors of 9434?

Answer: Factors of 9434 are 1, 2, 53, 89, 106, 178, 4717, 9434. There are 8 integers that are factors of 9434. The greatest factor of 9434 is 9434.

3. What are the Factors of 9442?

Answer: Factors of 9442 are 1, 2, 4721, 9442. There are 4 integers that are factors of 9442. The greatest factor of 9442 is 9442.

4. How to Find the GCF of 9434 and 9442?

Answer:

Greatest Common Factor of 9434 and 9442 = 2

Step 1: Find the prime factorization of 9434

9434 = 2 x 53 x 89

Step 2: Find the prime factorization of 9442

9442 = 2 x 4721

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 9434 and 9442 is 2