Greatest Common Factor of 9945 and 9951

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 9945, 9951 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9945 and 9951 is 3.

GCF(9945,9951) = 3

GCF of 9945 and 9951

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

GCF of:
and

Greatest Common Factor of 9945 and 9951

GCF of 9945 and 9951 is 3

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

Prime Factorization of 9951


3 9951
31 3317
107 107
1

Prime factors of 9951 are 3,31,107. Prime factorization of 9951 in exponential form is:

9951 = 31×311×1071

∴ So by taking common prime factors GCF of 9945 and 9951 is 3

Greatest Common Factor of 9945 and 9951 by matching factors method

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

Factors of 9951

List of positive integer factors of 9951 that divides 9951 without a remainder.

1,3,31,93,107,321,3317,9951

Greatest Common Factor

We found the factors and prime factorization of 9945 and 9951. The biggest common factor number is the GCF number.
So the greatest common factor 9945 and 9951 is 3.

Also check out the Least Common Multiple of 9945 and 9951

Properties of GCF 9945 and 9951

(i) The GCF of 9945 and 9951 is associative

GCF of 9945 and 9951 = GCF of 9951 and 9945

Related Greatest Common Factor of 9945

Related Greatest Common Factor of 9951

Frequently Asked Questions on GCF of 9945 and 9951

1. What is the GCF of 9945 and 9951?

Answer: GCF of 9945 and 9951 is 3.

2. 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.

3. What are the Factors of 9951?

Answer: Factors of 9951 are 1, 3, 31, 93, 107, 321, 3317, 9951. There are 8 integers that are factors of 9951. The greatest factor of 9951 is 9951.

4. How to Find the GCF of 9945 and 9951?

Answer:

Greatest Common Factor of 9945 and 9951 = 3

Step 1: Find the prime factorization of 9945

9945 = 3 x 3 x 5 x 13 x 17

Step 2: Find the prime factorization of 9951

9951 = 3 x 31 x 107

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 9945 and 9951 is 3