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 9947, 9951 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9947 and 9951 is 1.
GCF(9947,9951) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 9947
7 | 9947 |
7 | 1421 |
7 | 203 |
29 | 29 |
1 |
Prime factors of 9947 are 7,29. Prime factorization of 9947 in exponential form is:
9947 = 73×291
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 9947 and 9951 is 1
Factors of 9947
List of positive integer factors of 9947 that divides 9947 without a remainder.
1,7,29,49,203,343,1421,9947
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 9947 and 9951. The biggest common factor number is the GCF number.
So the greatest common factor 9947 and 9951 is 1.
Also check out the Least Common Multiple of 9947 and 9951
(i) The GCF of 9947 and 9951 is associative
GCF of 9947 and 9951 = GCF of 9951 and 9947
1. What is the GCF of 9947 and 9951?
Answer: GCF of 9947 and 9951 is 1.
2. What are the Factors of 9947?
Answer: Factors of 9947 are 1, 7, 29, 49, 203, 343, 1421, 9947. There are 8 integers that are factors of 9947. The greatest factor of 9947 is 9947.
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 9947 and 9951?
Answer:
Greatest Common Factor of 9947 and 9951 = 1
Step 1: Find the prime factorization of 9947
9947 = 7 x 7 x 7 x 29
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 = = 1
Step 4: Therefore, the greatest common factor of 9947 and 9951 is 1