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 3935, 3940 i.e. 5 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3935 and 3940 is 5.
GCF(3935,3940) = 5
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 3935
5 | 3935 |
787 | 787 |
1 |
Prime factors of 3935 are 5,787. Prime factorization of 3935 in exponential form is:
3935 = 51×7871
Prime Factorization of 3940
2 | 3940 |
2 | 1970 |
5 | 985 |
197 | 197 |
1 |
Prime factors of 3940 are 2,5,197. Prime factorization of 3940 in exponential form is:
3940 = 22×51×1971
∴ So by taking common prime factors GCF of 3935 and 3940 is 5
Factors of 3935
List of positive integer factors of 3935 that divides 3935 without a remainder.
1,5,787,3935
Factors of 3940
List of positive integer factors of 3940 that divides 3940 without a remainder.
1,2,4,5,10,20,197,394,788,985,1970,3940
Greatest Common Factor
We found the factors and prime factorization of 3935 and 3940. The biggest common factor number is the GCF number.
So the greatest common factor 3935 and 3940 is 5.
Also check out the Least Common Multiple of 3935 and 3940
(i) The GCF of 3935 and 3940 is associative
GCF of 3935 and 3940 = GCF of 3940 and 3935
1. What is the GCF of 3935 and 3940?
Answer: GCF of 3935 and 3940 is 5.
2. What are the Factors of 3935?
Answer: Factors of 3935 are 1, 5, 787, 3935. There are 4 integers that are factors of 3935. The greatest factor of 3935 is 3935.
3. What are the Factors of 3940?
Answer: Factors of 3940 are 1, 2, 4, 5, 10, 20, 197, 394, 788, 985, 1970, 3940. There are 12 integers that are factors of 3940. The greatest factor of 3940 is 3940.
4. How to Find the GCF of 3935 and 3940?
Answer:
Greatest Common Factor of 3935 and 3940 = 5
Step 1: Find the prime factorization of 3935
3935 = 5 x 787
Step 2: Find the prime factorization of 3940
3940 = 2 x 2 x 5 x 197
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 3935 and 3940 is 5