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 9939, 9942 i.e. 3 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9939 and 9942 is 3.
GCF(9939,9942) = 3
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 9939
3 | 9939 |
3313 | 3313 |
1 |
Prime factors of 9939 are 3,3313. Prime factorization of 9939 in exponential form is:
9939 = 31×33131
Prime Factorization of 9942
2 | 9942 |
3 | 4971 |
1657 | 1657 |
1 |
Prime factors of 9942 are 2,3,1657. Prime factorization of 9942 in exponential form is:
9942 = 21×31×16571
∴ So by taking common prime factors GCF of 9939 and 9942 is 3
Factors of 9939
List of positive integer factors of 9939 that divides 9939 without a remainder.
1,3,3313,9939
Factors of 9942
List of positive integer factors of 9942 that divides 9942 without a remainder.
1,2,3,6,1657,3314,4971,9942
Greatest Common Factor
We found the factors and prime factorization of 9939 and 9942. The biggest common factor number is the GCF number.
So the greatest common factor 9939 and 9942 is 3.
Also check out the Least Common Multiple of 9939 and 9942
(i) The GCF of 9939 and 9942 is associative
GCF of 9939 and 9942 = GCF of 9942 and 9939
1. What is the GCF of 9939 and 9942?
Answer: GCF of 9939 and 9942 is 3.
2. What are the Factors of 9939?
Answer: Factors of 9939 are 1, 3, 3313, 9939. There are 4 integers that are factors of 9939. The greatest factor of 9939 is 9939.
3. What are the Factors of 9942?
Answer: Factors of 9942 are 1, 2, 3, 6, 1657, 3314, 4971, 9942. There are 8 integers that are factors of 9942. The greatest factor of 9942 is 9942.
4. How to Find the GCF of 9939 and 9942?
Answer:
Greatest Common Factor of 9939 and 9942 = 3
Step 1: Find the prime factorization of 9939
9939 = 3 x 3313
Step 2: Find the prime factorization of 9942
9942 = 2 x 3 x 1657
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 3
Step 4: Therefore, the greatest common factor of 9939 and 9942 is 3