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 6971, 6975 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 6971 and 6975 is 1.
GCF(6971,6975) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 6971
6971 | 6971 |
1 |
Prime factors of 6971 are 6971. Prime factorization of 6971 in exponential form is:
6971 = 69711
Prime Factorization of 6975
3 | 6975 |
3 | 2325 |
5 | 775 |
5 | 155 |
31 | 31 |
1 |
Prime factors of 6975 are 3.Prime factorization of 6975 in exponential form is:
6975 = 32×52×311
∴ So by taking common prime factors GCF of 6971 and 6975 is 1
Factors of 6971
List of positive integer factors of 6971 that divides 6971 without a remainder.
1,6971
Factors of 6975
List of positive integer factors of 6975 that divides 6975 without a remainder.
1,3,5,9,15,25,31,45,75,93,155,225,279,465,775,1395,2325,6975
Greatest Common Factor
We found the factors and prime factorization of 6971 and 6975. The biggest common factor number is the GCF number.
So the greatest common factor 6971 and 6975 is 1.
Also check out the Least Common Multiple of 6971 and 6975
(i) The GCF of 6971 and 6975 is associative
GCF of 6971 and 6975 = GCF of 6975 and 6971
1. What is the GCF of 6971 and 6975?
Answer: GCF of 6971 and 6975 is 1.
2. What are the Factors of 6971?
Answer: Factors of 6971 are 1, 6971. There are 2 integers that are factors of 6971. The greatest factor of 6971 is 6971.
3. What are the Factors of 6975?
Answer: Factors of 6975 are 1, 3, 5, 9, 15, 25, 31, 45, 75, 93, 155, 225, 279, 465, 775, 1395, 2325, 6975. There are 18 integers that are factors of 6975. The greatest factor of 6975 is 6975.
4. How to Find the GCF of 6971 and 6975?
Answer:
Greatest Common Factor of 6971 and 6975 = 1
Step 1: Find the prime factorization of 6971
6971 = 6971
Step 2: Find the prime factorization of 6975
6975 = 3 x 3 x 5 x 5 x 31
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 6971 and 6975 is 1