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 5945, 5949 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 5945 and 5949 is 1.
GCF(5945,5949) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 5945
5 | 5945 |
29 | 1189 |
41 | 41 |
1 |
Prime factors of 5945 are 5,29,41. Prime factorization of 5945 in exponential form is:
5945 = 51×291×411
Prime Factorization of 5949
3 | 5949 |
3 | 1983 |
661 | 661 |
1 |
Prime factors of 5949 are 3,661. Prime factorization of 5949 in exponential form is:
5949 = 32×6611
∴ So by taking common prime factors GCF of 5945 and 5949 is 1
Factors of 5945
List of positive integer factors of 5945 that divides 5945 without a remainder.
1,5,29,41,145,205,1189,5945
Factors of 5949
List of positive integer factors of 5949 that divides 5949 without a remainder.
1,3,9,661,1983,5949
Greatest Common Factor
We found the factors and prime factorization of 5945 and 5949. The biggest common factor number is the GCF number.
So the greatest common factor 5945 and 5949 is 1.
Also check out the Least Common Multiple of 5945 and 5949
(i) The GCF of 5945 and 5949 is associative
GCF of 5945 and 5949 = GCF of 5949 and 5945
1. What is the GCF of 5945 and 5949?
Answer: GCF of 5945 and 5949 is 1.
2. What are the Factors of 5945?
Answer: Factors of 5945 are 1, 5, 29, 41, 145, 205, 1189, 5945. There are 8 integers that are factors of 5945. The greatest factor of 5945 is 5945.
3. What are the Factors of 5949?
Answer: Factors of 5949 are 1, 3, 9, 661, 1983, 5949. There are 6 integers that are factors of 5949. The greatest factor of 5949 is 5949.
4. How to Find the GCF of 5945 and 5949?
Answer:
Greatest Common Factor of 5945 and 5949 = 1
Step 1: Find the prime factorization of 5945
5945 = 5 x 29 x 41
Step 2: Find the prime factorization of 5949
5949 = 3 x 3 x 661
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 5945 and 5949 is 1