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 5965, 5970 i.e. 5 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 5965 and 5970 is 5.
GCF(5965,5970) = 5
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 5965
5 | 5965 |
1193 | 1193 |
1 |
Prime factors of 5965 are 5,1193. Prime factorization of 5965 in exponential form is:
5965 = 51×11931
Prime Factorization of 5970
2 | 5970 |
3 | 2985 |
5 | 995 |
199 | 199 |
1 |
Prime factors of 5970 are 2,3,5,199. Prime factorization of 5970 in exponential form is:
5970 = 21×31×51×1991
∴ So by taking common prime factors GCF of 5965 and 5970 is 5
Factors of 5965
List of positive integer factors of 5965 that divides 5965 without a remainder.
1,5,1193,5965
Factors of 5970
List of positive integer factors of 5970 that divides 5970 without a remainder.
1,2,3,5,6,10,15,30,199,398,597,995,1194,1990,2985,5970
Greatest Common Factor
We found the factors and prime factorization of 5965 and 5970. The biggest common factor number is the GCF number.
So the greatest common factor 5965 and 5970 is 5.
Also check out the Least Common Multiple of 5965 and 5970
(i) The GCF of 5965 and 5970 is associative
GCF of 5965 and 5970 = GCF of 5970 and 5965
1. What is the GCF of 5965 and 5970?
Answer: GCF of 5965 and 5970 is 5.
2. What are the Factors of 5965?
Answer: Factors of 5965 are 1, 5, 1193, 5965. There are 4 integers that are factors of 5965. The greatest factor of 5965 is 5965.
3. What are the Factors of 5970?
Answer: Factors of 5970 are 1, 2, 3, 5, 6, 10, 15, 30, 199, 398, 597, 995, 1194, 1990, 2985, 5970. There are 16 integers that are factors of 5970. The greatest factor of 5970 is 5970.
4. How to Find the GCF of 5965 and 5970?
Answer:
Greatest Common Factor of 5965 and 5970 = 5
Step 1: Find the prime factorization of 5965
5965 = 5 x 1193
Step 2: Find the prime factorization of 5970
5970 = 2 x 3 x 5 x 199
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 5
Step 4: Therefore, the greatest common factor of 5965 and 5970 is 5