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 3970, 3975 i.e. 5 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3970 and 3975 is 5.
GCF(3970,3975) = 5
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 3970
2 | 3970 |
5 | 1985 |
397 | 397 |
1 |
Prime factors of 3970 are 2,5,397. Prime factorization of 3970 in exponential form is:
3970 = 21×51×3971
Prime Factorization of 3975
3 | 3975 |
5 | 1325 |
5 | 265 |
53 | 53 |
1 |
Prime factors of 3975 are 3,5,53. Prime factorization of 3975 in exponential form is:
3975 = 31×52×531
∴ So by taking common prime factors GCF of 3970 and 3975 is 5
Factors of 3970
List of positive integer factors of 3970 that divides 3970 without a remainder.
1,2,5,10,397,794,1985,3970
Factors of 3975
List of positive integer factors of 3975 that divides 3975 without a remainder.
1,3,5,15,25,53,75,159,265,795,1325,3975
Greatest Common Factor
We found the factors and prime factorization of 3970 and 3975. The biggest common factor number is the GCF number.
So the greatest common factor 3970 and 3975 is 5.
Also check out the Least Common Multiple of 3970 and 3975
(i) The GCF of 3970 and 3975 is associative
GCF of 3970 and 3975 = GCF of 3975 and 3970
1. What is the GCF of 3970 and 3975?
Answer: GCF of 3970 and 3975 is 5.
2. What are the Factors of 3970?
Answer: Factors of 3970 are 1, 2, 5, 10, 397, 794, 1985, 3970. There are 8 integers that are factors of 3970. The greatest factor of 3970 is 3970.
3. What are the Factors of 3975?
Answer: Factors of 3975 are 1, 3, 5, 15, 25, 53, 75, 159, 265, 795, 1325, 3975. There are 12 integers that are factors of 3975. The greatest factor of 3975 is 3975.
4. How to Find the GCF of 3970 and 3975?
Answer:
Greatest Common Factor of 3970 and 3975 = 5
Step 1: Find the prime factorization of 3970
3970 = 2 x 5 x 397
Step 2: Find the prime factorization of 3975
3975 = 3 x 5 x 5 x 53
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 3970 and 3975 is 5