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 4941, 4945 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 4941 and 4945 is 1.
GCF(4941,4945) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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
Prime Factorization of 4945
5 | 4945 |
23 | 989 |
43 | 43 |
1 |
Prime factors of 4945 are 5,23,43. Prime factorization of 4945 in exponential form is:
4945 = 51×231×431
∴ So by taking common prime factors GCF of 4941 and 4945 is 1
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
Factors of 4945
List of positive integer factors of 4945 that divides 4945 without a remainder.
1,5,23,43,115,215,989,4945
Greatest Common Factor
We found the factors and prime factorization of 4941 and 4945. The biggest common factor number is the GCF number.
So the greatest common factor 4941 and 4945 is 1.
Also check out the Least Common Multiple of 4941 and 4945
(i) The GCF of 4941 and 4945 is associative
GCF of 4941 and 4945 = GCF of 4945 and 4941
1. What is the GCF of 4941 and 4945?
Answer: GCF of 4941 and 4945 is 1.
2. 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.
3. What are the Factors of 4945?
Answer: Factors of 4945 are 1, 5, 23, 43, 115, 215, 989, 4945. There are 8 integers that are factors of 4945. The greatest factor of 4945 is 4945.
4. How to Find the GCF of 4941 and 4945?
Answer:
Greatest Common Factor of 4941 and 4945 = 1
Step 1: Find the prime factorization of 4941
4941 = 3 x 3 x 3 x 3 x 61
Step 2: Find the prime factorization of 4945
4945 = 5 x 23 x 43
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 4941 and 4945 is 1