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 5960, 5966 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 5960 and 5966 is 2.
GCF(5960,5966) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 5960
2 | 5960 |
2 | 2980 |
2 | 1490 |
5 | 745 |
149 | 149 |
1 |
Prime factors of 5960 are 2,5,149. Prime factorization of 5960 in exponential form is:
5960 = 23×51×1491
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 5960 and 5966 is 2
Factors of 5960
List of positive integer factors of 5960 that divides 5960 without a remainder.
1,2,4,5,8,10,20,40,149,298,596,745,1192,1490,2980,5960
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 5960 and 5966. The biggest common factor number is the GCF number.
So the greatest common factor 5960 and 5966 is 2.
Also check out the Least Common Multiple of 5960 and 5966
(i) The GCF of 5960 and 5966 is associative
GCF of 5960 and 5966 = GCF of 5966 and 5960
1. What is the GCF of 5960 and 5966?
Answer: GCF of 5960 and 5966 is 2.
2. What are the Factors of 5960?
Answer: Factors of 5960 are 1, 2, 4, 5, 8, 10, 20, 40, 149, 298, 596, 745, 1192, 1490, 2980, 5960. There are 16 integers that are factors of 5960. The greatest factor of 5960 is 5960.
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 5960 and 5966?
Answer:
Greatest Common Factor of 5960 and 5966 = 2
Step 1: Find the prime factorization of 5960
5960 = 2 x 2 x 2 x 5 x 149
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 = 2
Step 4: Therefore, the greatest common factor of 5960 and 5966 is 2