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 5954, 5961 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 5954 and 5961 is 1.
GCF(5954,5961) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 5954
2 | 5954 |
13 | 2977 |
229 | 229 |
1 |
Prime factors of 5954 are 2,13,229. Prime factorization of 5954 in exponential form is:
5954 = 21×131×2291
Prime Factorization of 5961
3 | 5961 |
1987 | 1987 |
1 |
Prime factors of 5961 are 3,1987. Prime factorization of 5961 in exponential form is:
5961 = 31×19871
∴ So by taking common prime factors GCF of 5954 and 5961 is 1
Factors of 5954
List of positive integer factors of 5954 that divides 5954 without a remainder.
1,2,13,26,229,458,2977,5954
Factors of 5961
List of positive integer factors of 5961 that divides 5961 without a remainder.
1,3,1987,5961
Greatest Common Factor
We found the factors and prime factorization of 5954 and 5961. The biggest common factor number is the GCF number.
So the greatest common factor 5954 and 5961 is 1.
Also check out the Least Common Multiple of 5954 and 5961
(i) The GCF of 5954 and 5961 is associative
GCF of 5954 and 5961 = GCF of 5961 and 5954
1. What is the GCF of 5954 and 5961?
Answer: GCF of 5954 and 5961 is 1.
2. What are the Factors of 5954?
Answer: Factors of 5954 are 1, 2, 13, 26, 229, 458, 2977, 5954. There are 8 integers that are factors of 5954. The greatest factor of 5954 is 5954.
3. What are the Factors of 5961?
Answer: Factors of 5961 are 1, 3, 1987, 5961. There are 4 integers that are factors of 5961. The greatest factor of 5961 is 5961.
4. How to Find the GCF of 5954 and 5961?
Answer:
Greatest Common Factor of 5954 and 5961 = 1
Step 1: Find the prime factorization of 5954
5954 = 2 x 13 x 229
Step 2: Find the prime factorization of 5961
5961 = 3 x 1987
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 5954 and 5961 is 1