Greatest Common Factor of 9951 and 9957

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 9951, 9957 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9951 and 9957 is 3.

GCF(9951,9957) = 3

GCF of 9951 and 9957

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

GCF of:
and

Greatest Common Factor of 9951 and 9957

GCF of 9951 and 9957 is 3

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

Prime Factorization of 9957


3 9957
3319 3319
1

Prime factors of 9957 are 3,3319. Prime factorization of 9957 in exponential form is:

9957 = 31×33191

∴ So by taking common prime factors GCF of 9951 and 9957 is 3

Greatest Common Factor of 9951 and 9957 by matching factors method

Factors of 9951

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

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

Factors of 9957

List of positive integer factors of 9957 that divides 9957 without a remainder.

1,3,3319,9957

Greatest Common Factor

We found the factors and prime factorization of 9951 and 9957. The biggest common factor number is the GCF number.
So the greatest common factor 9951 and 9957 is 3.

Also check out the Least Common Multiple of 9951 and 9957

Properties of GCF 9951 and 9957

(i) The GCF of 9951 and 9957 is associative

GCF of 9951 and 9957 = GCF of 9957 and 9951

Related Greatest Common Factor of 9951

Related Greatest Common Factor of 9957

Frequently Asked Questions on GCF of 9951 and 9957

1. What is the GCF of 9951 and 9957?

Answer: GCF of 9951 and 9957 is 3.

2. 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.

3. What are the Factors of 9957?

Answer: Factors of 9957 are 1, 3, 3319, 9957. There are 4 integers that are factors of 9957. The greatest factor of 9957 is 9957.

4. How to Find the GCF of 9951 and 9957?

Answer:

Greatest Common Factor of 9951 and 9957 = 3

Step 1: Find the prime factorization of 9951

9951 = 3 x 31 x 107

Step 2: Find the prime factorization of 9957

9957 = 3 x 3319

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 9951 and 9957 is 3