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 9956, 9962 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9956 and 9962 is 2.
GCF(9956,9962) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 9956
2 | 9956 |
2 | 4978 |
19 | 2489 |
131 | 131 |
1 |
Prime factors of 9956 are 2,19,131. Prime factorization of 9956 in exponential form is:
9956 = 22×191×1311
Prime Factorization of 9962
2 | 9962 |
17 | 4981 |
293 | 293 |
1 |
Prime factors of 9962 are 2,17,293. Prime factorization of 9962 in exponential form is:
9962 = 21×171×2931
∴ So by taking common prime factors GCF of 9956 and 9962 is 2
Factors of 9956
List of positive integer factors of 9956 that divides 9956 without a remainder.
1,2,4,19,38,76,131,262,524,2489,4978,9956
Factors of 9962
List of positive integer factors of 9962 that divides 9962 without a remainder.
1,2,17,34,293,586,4981,9962
Greatest Common Factor
We found the factors and prime factorization of 9956 and 9962. The biggest common factor number is the GCF number.
So the greatest common factor 9956 and 9962 is 2.
Also check out the Least Common Multiple of 9956 and 9962
(i) The GCF of 9956 and 9962 is associative
GCF of 9956 and 9962 = GCF of 9962 and 9956
1. What is the GCF of 9956 and 9962?
Answer: GCF of 9956 and 9962 is 2.
2. What are the Factors of 9956?
Answer: Factors of 9956 are 1, 2, 4, 19, 38, 76, 131, 262, 524, 2489, 4978, 9956. There are 12 integers that are factors of 9956. The greatest factor of 9956 is 9956.
3. What are the Factors of 9962?
Answer: Factors of 9962 are 1, 2, 17, 34, 293, 586, 4981, 9962. There are 8 integers that are factors of 9962. The greatest factor of 9962 is 9962.
4. How to Find the GCF of 9956 and 9962?
Answer:
Greatest Common Factor of 9956 and 9962 = 2
Step 1: Find the prime factorization of 9956
9956 = 2 x 2 x 19 x 131
Step 2: Find the prime factorization of 9962
9962 = 2 x 17 x 293
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2
Step 4: Therefore, the greatest common factor of 9956 and 9962 is 2