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 5959, 5966 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 5959 and 5966 is 1.
GCF(5959,5966) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 5959
59 | 5959 |
101 | 101 |
1 |
Prime factors of 5959 are 59,101. Prime factorization of 5959 in exponential form is:
5959 = 591×1011
Prime Factorization of 5966
2 | 5966 |
19 | 2983 |
157 | 157 |
1 |
Prime factors of 5966 are 2,19,157. Prime factorization of 5966 in exponential form is:
5966 = 21×191×1571
∴ So by taking common prime factors GCF of 5959 and 5966 is 1
Factors of 5959
List of positive integer factors of 5959 that divides 5959 without a remainder.
1,59,101,5959
Factors of 5966
List of positive integer factors of 5966 that divides 5966 without a remainder.
1,2,19,38,157,314,2983,5966
Greatest Common Factor
We found the factors and prime factorization of 5959 and 5966. The biggest common factor number is the GCF number.
So the greatest common factor 5959 and 5966 is 1.
Also check out the Least Common Multiple of 5959 and 5966
(i) The GCF of 5959 and 5966 is associative
GCF of 5959 and 5966 = GCF of 5966 and 5959
1. What is the GCF of 5959 and 5966?
Answer: GCF of 5959 and 5966 is 1.
2. What are the Factors of 5959?
Answer: Factors of 5959 are 1, 59, 101, 5959. There are 4 integers that are factors of 5959. The greatest factor of 5959 is 5959.
3. What are the Factors of 5966?
Answer: Factors of 5966 are 1, 2, 19, 38, 157, 314, 2983, 5966. There are 8 integers that are factors of 5966. The greatest factor of 5966 is 5966.
4. How to Find the GCF of 5959 and 5966?
Answer:
Greatest Common Factor of 5959 and 5966 = 1
Step 1: Find the prime factorization of 5959
5959 = 59 x 101
Step 2: Find the prime factorization of 5966
5966 = 2 x 19 x 157
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 5959 and 5966 is 1