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 5970, 5976 i.e. 6 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 5970 and 5976 is 6.
GCF(5970,5976) = 6
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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
Prime Factorization of 5976
2 | 5976 |
2 | 2988 |
2 | 1494 |
3 | 747 |
3 | 249 |
83 | 83 |
1 |
Prime factors of 5976 are 2,3,83. Prime factorization of 5976 in exponential form is:
5976 = 23×32×831
∴ So by taking common prime factors GCF of 5970 and 5976 is 6
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
Factors of 5976
List of positive integer factors of 5976 that divides 5976 without a remainder.
1,2,3,4,6,8,9,12,18,24,36,72,83,166,249,332,498,664,747,996,1494,1992,2988,5976
Greatest Common Factor
We found the factors and prime factorization of 5970 and 5976. The biggest common factor number is the GCF number.
So the greatest common factor 5970 and 5976 is 6.
Also check out the Least Common Multiple of 5970 and 5976
(i) The GCF of 5970 and 5976 is associative
GCF of 5970 and 5976 = GCF of 5976 and 5970
1. What is the GCF of 5970 and 5976?
Answer: GCF of 5970 and 5976 is 6.
2. 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.
3. What are the Factors of 5976?
Answer: Factors of 5976 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 83, 166, 249, 332, 498, 664, 747, 996, 1494, 1992, 2988, 5976. There are 24 integers that are factors of 5976. The greatest factor of 5976 is 5976.
4. How to Find the GCF of 5970 and 5976?
Answer:
Greatest Common Factor of 5970 and 5976 = 6
Step 1: Find the prime factorization of 5970
5970 = 2 x 3 x 5 x 199
Step 2: Find the prime factorization of 5976
5976 = 2 x 2 x 2 x 3 x 3 x 83
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2 x 3 = 6
Step 4: Therefore, the greatest common factor of 5970 and 5976 is 6