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 9952, 9955 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9952 and 9955 is 1.
GCF(9952,9955) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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
Prime Factorization of 9955
5 | 9955 |
11 | 1991 |
181 | 181 |
1 |
Prime factors of 9955 are 5,11,181. Prime factorization of 9955 in exponential form is:
9955 = 51×111×1811
∴ So by taking common prime factors GCF of 9952 and 9955 is 1
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
Factors of 9955
List of positive integer factors of 9955 that divides 9955 without a remainder.
1,5,11,55,181,905,1991,9955
Greatest Common Factor
We found the factors and prime factorization of 9952 and 9955. The biggest common factor number is the GCF number.
So the greatest common factor 9952 and 9955 is 1.
Also check out the Least Common Multiple of 9952 and 9955
(i) The GCF of 9952 and 9955 is associative
GCF of 9952 and 9955 = GCF of 9955 and 9952
1. What is the GCF of 9952 and 9955?
Answer: GCF of 9952 and 9955 is 1.
2. 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.
3. What are the Factors of 9955?
Answer: Factors of 9955 are 1, 5, 11, 55, 181, 905, 1991, 9955. There are 8 integers that are factors of 9955. The greatest factor of 9955 is 9955.
4. How to Find the GCF of 9952 and 9955?
Answer:
Greatest Common Factor of 9952 and 9955 = 1
Step 1: Find the prime factorization of 9952
9952 = 2 x 2 x 2 x 2 x 2 x 311
Step 2: Find the prime factorization of 9955
9955 = 5 x 11 x 181
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 9952 and 9955 is 1