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 5966, 5974 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 5966 and 5974 is 2.
GCF(5966,5974) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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
Prime Factorization of 5974
2 | 5974 |
29 | 2987 |
103 | 103 |
1 |
Prime factors of 5974 are 2,29,103. Prime factorization of 5974 in exponential form is:
5974 = 21×291×1031
∴ So by taking common prime factors GCF of 5966 and 5974 is 2
Factors of 5966
List of positive integer factors of 5966 that divides 5966 without a remainder.
1,2,19,38,157,314,2983,5966
Factors of 5974
List of positive integer factors of 5974 that divides 5974 without a remainder.
1,2,29,58,103,206,2987,5974
Greatest Common Factor
We found the factors and prime factorization of 5966 and 5974. The biggest common factor number is the GCF number.
So the greatest common factor 5966 and 5974 is 2.
Also check out the Least Common Multiple of 5966 and 5974
(i) The GCF of 5966 and 5974 is associative
GCF of 5966 and 5974 = GCF of 5974 and 5966
1. What is the GCF of 5966 and 5974?
Answer: GCF of 5966 and 5974 is 2.
2. 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.
3. What are the Factors of 5974?
Answer: Factors of 5974 are 1, 2, 29, 58, 103, 206, 2987, 5974. There are 8 integers that are factors of 5974. The greatest factor of 5974 is 5974.
4. How to Find the GCF of 5966 and 5974?
Answer:
Greatest Common Factor of 5966 and 5974 = 2
Step 1: Find the prime factorization of 5966
5966 = 2 x 19 x 157
Step 2: Find the prime factorization of 5974
5974 = 2 x 29 x 103
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2
Step 4: Therefore, the greatest common factor of 5966 and 5974 is 2