Greatest Common Factor of 9422 and 9429

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 9422, 9429 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9422 and 9429 is 7.

GCF(9422,9429) = 7

GCF of 9422 and 9429

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

GCF of:
and

Greatest Common Factor of 9422 and 9429

GCF of 9422 and 9429 is 7

Prime Factorization of 9422


2 9422
7 4711
673 673
1

Prime factors of 9422 are 2,7,673. Prime factorization of 9422 in exponential form is:

9422 = 21×71×6731

Prime Factorization of 9429


3 9429
7 3143
449 449
1

Prime factors of 9429 are 3,7,449. Prime factorization of 9429 in exponential form is:

9429 = 31×71×4491

∴ So by taking common prime factors GCF of 9422 and 9429 is 7

Greatest Common Factor of 9422 and 9429 by matching factors method

Factors of 9422

List of positive integer factors of 9422 that divides 9422 without a remainder.

1,2,7,14,673,1346,4711,9422

Factors of 9429

List of positive integer factors of 9429 that divides 9429 without a remainder.

1,3,7,21,449,1347,3143,9429

Greatest Common Factor

We found the factors and prime factorization of 9422 and 9429. The biggest common factor number is the GCF number.
So the greatest common factor 9422 and 9429 is 7.

Also check out the Least Common Multiple of 9422 and 9429

Properties of GCF 9422 and 9429

(i) The GCF of 9422 and 9429 is associative

GCF of 9422 and 9429 = GCF of 9429 and 9422

Related Greatest Common Factor of 9422

Related Greatest Common Factor of 9429

Frequently Asked Questions on GCF of 9422 and 9429

1. What is the GCF of 9422 and 9429?

Answer: GCF of 9422 and 9429 is 7.

2. What are the Factors of 9422?

Answer: Factors of 9422 are 1, 2, 7, 14, 673, 1346, 4711, 9422. There are 8 integers that are factors of 9422. The greatest factor of 9422 is 9422.

3. What are the Factors of 9429?

Answer: Factors of 9429 are 1, 3, 7, 21, 449, 1347, 3143, 9429. There are 8 integers that are factors of 9429. The greatest factor of 9429 is 9429.

4. How to Find the GCF of 9422 and 9429?

Answer:

Greatest Common Factor of 9422 and 9429 = 7

Step 1: Find the prime factorization of 9422

9422 = 2 x 7 x 673

Step 2: Find the prime factorization of 9429

9429 = 3 x 7 x 449

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 7

Step 4: Therefore, the greatest common factor of 9422 and 9429 is 7