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, 9952 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9947 and 9952 is 1.
GCF(9947,9952) = 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 9952
2 | 9952 |
2 | 4976 |
2 | 2488 |
2 | 1244 |
2 | 622 |
311 | 311 |
1 |
Prime factors of 9952 are 2,311. Prime factorization of 9952 in exponential form is:
9952 = 25×3111
∴ So by taking common prime factors GCF of 9947 and 9952 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 9952
List of positive integer factors of 9952 that divides 9952 without a remainder.
1,2,4,8,16,32,311,622,1244,2488,4976,9952
Greatest Common Factor
We found the factors and prime factorization of 9947 and 9952. The biggest common factor number is the GCF number.
So the greatest common factor 9947 and 9952 is 1.
Also check out the Least Common Multiple of 9947 and 9952
(i) The GCF of 9947 and 9952 is associative
GCF of 9947 and 9952 = GCF of 9952 and 9947
1. What is the GCF of 9947 and 9952?
Answer: GCF of 9947 and 9952 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 9952?
Answer: Factors of 9952 are 1, 2, 4, 8, 16, 32, 311, 622, 1244, 2488, 4976, 9952. There are 12 integers that are factors of 9952. The greatest factor of 9952 is 9952.
4. How to Find the GCF of 9947 and 9952?
Answer:
Greatest Common Factor of 9947 and 9952 = 1
Step 1: Find the prime factorization of 9947
9947 = 7 x 7 x 7 x 29
Step 2: Find the prime factorization of 9952
9952 = 2 x 2 x 2 x 2 x 2 x 311
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 9952 is 1