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 3971, 3976 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3971 and 3976 is 1.
GCF(3971,3976) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 3971
11 | 3971 |
19 | 361 |
19 | 19 |
1 |
Prime factors of 3971 are 11,19. Prime factorization of 3971 in exponential form is:
3971 = 111×192
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
∴ So by taking common prime factors GCF of 3971 and 3976 is 1
Factors of 3971
List of positive integer factors of 3971 that divides 3971 without a remainder.
1,11,19,209,361,3971
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
Greatest Common Factor
We found the factors and prime factorization of 3971 and 3976. The biggest common factor number is the GCF number.
So the greatest common factor 3971 and 3976 is 1.
Also check out the Least Common Multiple of 3971 and 3976
(i) The GCF of 3971 and 3976 is associative
GCF of 3971 and 3976 = GCF of 3976 and 3971
1. What is the GCF of 3971 and 3976?
Answer: GCF of 3971 and 3976 is 1.
2. What are the Factors of 3971?
Answer: Factors of 3971 are 1, 11, 19, 209, 361, 3971. There are 6 integers that are factors of 3971. The greatest factor of 3971 is 3971.
3. 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.
4. How to Find the GCF of 3971 and 3976?
Answer:
Greatest Common Factor of 3971 and 3976 = 1
Step 1: Find the prime factorization of 3971
3971 = 11 x 19 x 19
Step 2: Find the prime factorization of 3976
3976 = 2 x 2 x 2 x 7 x 71
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = = 1
Step 4: Therefore, the greatest common factor of 3971 and 3976 is 1