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 3976, 3980 i.e. 4 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3976 and 3980 is 4.
GCF(3976,3980) = 4
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 3976
2 | 3976 |
2 | 1988 |
2 | 994 |
7 | 497 |
71 | 71 |
1 |
Prime factors of 3976 are 2,7,71. Prime factorization of 3976 in exponential form is:
3976 = 23×71×711
Prime Factorization of 3980
2 | 3980 |
2 | 1990 |
5 | 995 |
199 | 199 |
1 |
Prime factors of 3980 are 2,5,199. Prime factorization of 3980 in exponential form is:
3980 = 22×51×1991
∴ So by taking common prime factors GCF of 3976 and 3980 is 4
Factors of 3976
List of positive integer factors of 3976 that divides 3976 without a remainder.
1,2,4,7,8,14,28,56,71,142,284,497,568,994,1988,3976
Factors of 3980
List of positive integer factors of 3980 that divides 3980 without a remainder.
1,2,4,5,10,20,199,398,796,995,1990,3980
Greatest Common Factor
We found the factors and prime factorization of 3976 and 3980. The biggest common factor number is the GCF number.
So the greatest common factor 3976 and 3980 is 4.
Also check out the Least Common Multiple of 3976 and 3980
(i) The GCF of 3976 and 3980 is associative
GCF of 3976 and 3980 = GCF of 3980 and 3976
1. What is the GCF of 3976 and 3980?
Answer: GCF of 3976 and 3980 is 4.
2. What are the Factors of 3976?
Answer: Factors of 3976 are 1, 2, 4, 7, 8, 14, 28, 56, 71, 142, 284, 497, 568, 994, 1988, 3976. There are 16 integers that are factors of 3976. The greatest factor of 3976 is 3976.
3. What are the Factors of 3980?
Answer: Factors of 3980 are 1, 2, 4, 5, 10, 20, 199, 398, 796, 995, 1990, 3980. There are 12 integers that are factors of 3980. The greatest factor of 3980 is 3980.
4. How to Find the GCF of 3976 and 3980?
Answer:
Greatest Common Factor of 3976 and 3980 = 4
Step 1: Find the prime factorization of 3976
3976 = 2 x 2 x 2 x 7 x 71
Step 2: Find the prime factorization of 3980
3980 = 2 x 2 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 = 2 x 2 = 4
Step 4: Therefore, the greatest common factor of 3976 and 3980 is 4