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 9962, 9970 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9962 and 9970 is 2.
GCF(9962,9970) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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
Prime Factorization of 9970
2 | 9970 |
5 | 4985 |
997 | 997 |
1 |
Prime factors of 9970 are 2,5,997. Prime factorization of 9970 in exponential form is:
9970 = 21×51×9971
∴ So by taking common prime factors GCF of 9962 and 9970 is 2
Factors of 9962
List of positive integer factors of 9962 that divides 9962 without a remainder.
1,2,17,34,293,586,4981,9962
Factors of 9970
List of positive integer factors of 9970 that divides 9970 without a remainder.
1,2,5,10,997,1994,4985,9970
Greatest Common Factor
We found the factors and prime factorization of 9962 and 9970. The biggest common factor number is the GCF number.
So the greatest common factor 9962 and 9970 is 2.
Also check out the Least Common Multiple of 9962 and 9970
(i) The GCF of 9962 and 9970 is associative
GCF of 9962 and 9970 = GCF of 9970 and 9962
1. What is the GCF of 9962 and 9970?
Answer: GCF of 9962 and 9970 is 2.
2. 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.
3. What are the Factors of 9970?
Answer: Factors of 9970 are 1, 2, 5, 10, 997, 1994, 4985, 9970. There are 8 integers that are factors of 9970. The greatest factor of 9970 is 9970.
4. How to Find the GCF of 9962 and 9970?
Answer:
Greatest Common Factor of 9962 and 9970 = 2
Step 1: Find the prime factorization of 9962
9962 = 2 x 17 x 293
Step 2: Find the prime factorization of 9970
9970 = 2 x 5 x 997
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 9962 and 9970 is 2