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 4935, 4941 i.e. 3 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 4935 and 4941 is 3.
GCF(4935,4941) = 3
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 4935
3 | 4935 |
5 | 1645 |
7 | 329 |
47 | 47 |
1 |
Prime factors of 4935 are 3,5,7,47. Prime factorization of 4935 in exponential form is:
4935 = 31×51×71×471
Prime Factorization of 4941
3 | 4941 |
3 | 1647 |
3 | 549 |
3 | 183 |
61 | 61 |
1 |
Prime factors of 4941 are 3,61. Prime factorization of 4941 in exponential form is:
4941 = 34×611
∴ So by taking common prime factors GCF of 4935 and 4941 is 3
Factors of 4935
List of positive integer factors of 4935 that divides 4935 without a remainder.
1,3,5,7,15,21,35,47,105,141,235,329,705,987,1645,4935
Factors of 4941
List of positive integer factors of 4941 that divides 4941 without a remainder.
1,3,9,27,61,81,183,549,1647,4941
Greatest Common Factor
We found the factors and prime factorization of 4935 and 4941. The biggest common factor number is the GCF number.
So the greatest common factor 4935 and 4941 is 3.
Also check out the Least Common Multiple of 4935 and 4941
(i) The GCF of 4935 and 4941 is associative
GCF of 4935 and 4941 = GCF of 4941 and 4935
1. What is the GCF of 4935 and 4941?
Answer: GCF of 4935 and 4941 is 3.
2. What are the Factors of 4935?
Answer: Factors of 4935 are 1, 3, 5, 7, 15, 21, 35, 47, 105, 141, 235, 329, 705, 987, 1645, 4935. There are 16 integers that are factors of 4935. The greatest factor of 4935 is 4935.
3. What are the Factors of 4941?
Answer: Factors of 4941 are 1, 3, 9, 27, 61, 81, 183, 549, 1647, 4941. There are 10 integers that are factors of 4941. The greatest factor of 4941 is 4941.
4. How to Find the GCF of 4935 and 4941?
Answer:
Greatest Common Factor of 4935 and 4941 = 3
Step 1: Find the prime factorization of 4935
4935 = 3 x 5 x 7 x 47
Step 2: Find the prime factorization of 4941
4941 = 3 x 3 x 3 x 3 x 61
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 4935 and 4941 is 3