Greatest Common Factor of 9939 and 9945

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 9939, 9945 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9939 and 9945 is 3.

GCF(9939,9945) = 3

GCF of 9939 and 9945

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

GCF of:
and

Greatest Common Factor of 9939 and 9945

GCF of 9939 and 9945 is 3

Prime Factorization of 9939


3 9939
3313 3313
1

Prime factors of 9939 are 3,3313. Prime factorization of 9939 in exponential form is:

9939 = 31×33131

Prime Factorization of 9945


3 9945
3 3315
5 1105
13 221
17 17
1

Prime factors of 9945 are 3,5,13,17. Prime factorization of 9945 in exponential form is:

9945 = 32×51×131×171

∴ So by taking common prime factors GCF of 9939 and 9945 is 3

Greatest Common Factor of 9939 and 9945 by matching factors method

Factors of 9939

List of positive integer factors of 9939 that divides 9939 without a remainder.

1,3,3313,9939

Factors of 9945

List of positive integer factors of 9945 that divides 9945 without a remainder.

1,3,5,9,13,15,17,39,45,51,65,85,117,153,195,221,255,585,663,765,1105,1989,3315,9945

Greatest Common Factor

We found the factors and prime factorization of 9939 and 9945. The biggest common factor number is the GCF number.
So the greatest common factor 9939 and 9945 is 3.

Also check out the Least Common Multiple of 9939 and 9945

Properties of GCF 9939 and 9945

(i) The GCF of 9939 and 9945 is associative

GCF of 9939 and 9945 = GCF of 9945 and 9939

Related Greatest Common Factor of 9939

Related Greatest Common Factor of 9945

Frequently Asked Questions on GCF of 9939 and 9945

1. What is the GCF of 9939 and 9945?

Answer: GCF of 9939 and 9945 is 3.

2. What are the Factors of 9939?

Answer: Factors of 9939 are 1, 3, 3313, 9939. There are 4 integers that are factors of 9939. The greatest factor of 9939 is 9939.

3. What are the Factors of 9945?

Answer: Factors of 9945 are 1, 3, 5, 9, 13, 15, 17, 39, 45, 51, 65, 85, 117, 153, 195, 221, 255, 585, 663, 765, 1105, 1989, 3315, 9945. There are 24 integers that are factors of 9945. The greatest factor of 9945 is 9945.

4. How to Find the GCF of 9939 and 9945?

Answer:

Greatest Common Factor of 9939 and 9945 = 3

Step 1: Find the prime factorization of 9939

9939 = 3 x 3313

Step 2: Find the prime factorization of 9945

9945 = 3 x 3 x 5 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 = 3

Step 4: Therefore, the greatest common factor of 9939 and 9945 is 3