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
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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
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
(i) The GCF of 9951 and 9957 is associative
GCF of 9951 and 9957 = GCF of 9957 and 9951
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