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 3978, 3985 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3978 and 3985 is 1.
GCF(3978,3985) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 3978
2 | 3978 |
3 | 1989 |
3 | 663 |
13 | 221 |
17 | 17 |
1 |
Prime factors of 3978 are 2,3,13,17. Prime factorization of 3978 in exponential form is:
3978 = 21×32×131×171
Prime Factorization of 3985
5 | 3985 |
797 | 797 |
1 |
Prime factors of 3985 are 5,797. Prime factorization of 3985 in exponential form is:
3985 = 51×7971
∴ So by taking common prime factors GCF of 3978 and 3985 is 1
Factors of 3978
List of positive integer factors of 3978 that divides 3978 without a remainder.
1,2,3,6,9,13,17,18,26,34,39,51,78,102,117,153,221,234,306,442,663,1326,1989,3978
Factors of 3985
List of positive integer factors of 3985 that divides 3985 without a remainder.
1,5,797,3985
Greatest Common Factor
We found the factors and prime factorization of 3978 and 3985. The biggest common factor number is the GCF number.
So the greatest common factor 3978 and 3985 is 1.
Also check out the Least Common Multiple of 3978 and 3985
(i) The GCF of 3978 and 3985 is associative
GCF of 3978 and 3985 = GCF of 3985 and 3978
1. What is the GCF of 3978 and 3985?
Answer: GCF of 3978 and 3985 is 1.
2. What are the Factors of 3978?
Answer: Factors of 3978 are 1, 2, 3, 6, 9, 13, 17, 18, 26, 34, 39, 51, 78, 102, 117, 153, 221, 234, 306, 442, 663, 1326, 1989, 3978. There are 24 integers that are factors of 3978. The greatest factor of 3978 is 3978.
3. What are the Factors of 3985?
Answer: Factors of 3985 are 1, 5, 797, 3985. There are 4 integers that are factors of 3985. The greatest factor of 3985 is 3985.
4. How to Find the GCF of 3978 and 3985?
Answer:
Greatest Common Factor of 3978 and 3985 = 1
Step 1: Find the prime factorization of 3978
3978 = 2 x 3 x 3 x 13 x 17
Step 2: Find the prime factorization of 3985
3985 = 5 x 797
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 3978 and 3985 is 1