Greatest Common Factor of 9922 and 9929

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 9922, 9929 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9922 and 9929 is 1.

GCF(9922,9929) = 1

GCF of 9922 and 9929

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

GCF of:
and

Greatest Common Factor of 9922 and 9929

GCF of 9922 and 9929 is 1

Prime Factorization of 9922


2 9922
11 4961
11 451
41 41
1

Prime factors of 9922 are 2,11,41. Prime factorization of 9922 in exponential form is:

9922 = 21×112×411

Prime Factorization of 9929


9929 9929
1

Prime factors of 9929 are 9929. Prime factorization of 9929 in exponential form is:

9929 = 99291

∴ So by taking common prime factors GCF of 9922 and 9929 is 1

Greatest Common Factor of 9922 and 9929 by matching factors method

Factors of 9922

List of positive integer factors of 9922 that divides 9922 without a remainder.

1,2,11,22,41,82,121,242,451,902,4961,9922

Factors of 9929

List of positive integer factors of 9929 that divides 9929 without a remainder.

1,9929

Greatest Common Factor

We found the factors and prime factorization of 9922 and 9929. The biggest common factor number is the GCF number.
So the greatest common factor 9922 and 9929 is 1.

Also check out the Least Common Multiple of 9922 and 9929

Properties of GCF 9922 and 9929

(i) The GCF of 9922 and 9929 is associative

GCF of 9922 and 9929 = GCF of 9929 and 9922

Related Greatest Common Factor of 9922

Related Greatest Common Factor of 9929

Frequently Asked Questions on GCF of 9922 and 9929

1. What is the GCF of 9922 and 9929?

Answer: GCF of 9922 and 9929 is 1.

2. What are the Factors of 9922?

Answer: Factors of 9922 are 1, 2, 11, 22, 41, 82, 121, 242, 451, 902, 4961, 9922. There are 12 integers that are factors of 9922. The greatest factor of 9922 is 9922.

3. What are the Factors of 9929?

Answer: Factors of 9929 are 1, 9929. There are 2 integers that are factors of 9929. The greatest factor of 9929 is 9929.

4. How to Find the GCF of 9922 and 9929?

Answer:

Greatest Common Factor of 9922 and 9929 = 1

Step 1: Find the prime factorization of 9922

9922 = 2 x 11 x 11 x 41

Step 2: Find the prime factorization of 9929

9929 = 9929

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 9922 and 9929 is 1