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 9949, 9957 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9949 and 9957 is 1.
GCF(9949,9957) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 9949
9949 | 9949 |
1 |
Prime factors of 9949 are 9949. Prime factorization of 9949 in exponential form is:
9949 = 99491
Prime Factorization of 9957
3 | 9957 |
3319 | 3319 |
1 |
Prime factors of 9957 are 3.Prime factorization of 9957 in exponential form is:
9957 = 31×33191
∴ So by taking common prime factors GCF of 9949 and 9957 is 1
Factors of 9949
List of positive integer factors of 9949 that divides 9949 without a remainder.
1,9949
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 9949 and 9957. The biggest common factor number is the GCF number.
So the greatest common factor 9949 and 9957 is 1.
Also check out the Least Common Multiple of 9949 and 9957
(i) The GCF of 9949 and 9957 is associative
GCF of 9949 and 9957 = GCF of 9957 and 9949
1. What is the GCF of 9949 and 9957?
Answer: GCF of 9949 and 9957 is 1.
2. What are the Factors of 9949?
Answer: Factors of 9949 are 1, 9949. There are 2 integers that are factors of 9949. The greatest factor of 9949 is 9949.
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 9949 and 9957?
Answer:
Greatest Common Factor of 9949 and 9957 = 1
Step 1: Find the prime factorization of 9949
9949 = 9949
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 = = 1
Step 4: Therefore, the greatest common factor of 9949 and 9957 is 1