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 7970, 7975 i.e. 5 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7970 and 7975 is 5.
GCF(7970,7975) = 5
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 7970
2 | 7970 |
5 | 3985 |
797 | 797 |
1 |
Prime factors of 7970 are 2,5,797. Prime factorization of 7970 in exponential form is:
7970 = 21×51×7971
Prime Factorization of 7975
5 | 7975 |
5 | 1595 |
11 | 319 |
29 | 29 |
1 |
Prime factors of 7975 are 5,11,29. Prime factorization of 7975 in exponential form is:
7975 = 52×111×291
∴ So by taking common prime factors GCF of 7970 and 7975 is 5
Factors of 7970
List of positive integer factors of 7970 that divides 7970 without a remainder.
1,2,5,10,797,1594,3985,7970
Factors of 7975
List of positive integer factors of 7975 that divides 7975 without a remainder.
1,5,11,25,29,55,145,275,319,725,1595,7975
Greatest Common Factor
We found the factors and prime factorization of 7970 and 7975. The biggest common factor number is the GCF number.
So the greatest common factor 7970 and 7975 is 5.
Also check out the Least Common Multiple of 7970 and 7975
(i) The GCF of 7970 and 7975 is associative
GCF of 7970 and 7975 = GCF of 7975 and 7970
1. What is the GCF of 7970 and 7975?
Answer: GCF of 7970 and 7975 is 5.
2. What are the Factors of 7970?
Answer: Factors of 7970 are 1, 2, 5, 10, 797, 1594, 3985, 7970. There are 8 integers that are factors of 7970. The greatest factor of 7970 is 7970.
3. What are the Factors of 7975?
Answer: Factors of 7975 are 1, 5, 11, 25, 29, 55, 145, 275, 319, 725, 1595, 7975. There are 12 integers that are factors of 7975. The greatest factor of 7975 is 7975.
4. How to Find the GCF of 7970 and 7975?
Answer:
Greatest Common Factor of 7970 and 7975 = 5
Step 1: Find the prime factorization of 7970
7970 = 2 x 5 x 797
Step 2: Find the prime factorization of 7975
7975 = 5 x 5 x 11 x 29
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 7970 and 7975 is 5