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 6970, 6977 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 6970 and 6977 is 1.
GCF(6970,6977) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 6970
2 | 6970 |
5 | 3485 |
17 | 697 |
41 | 41 |
1 |
Prime factors of 6970 are 2,5,17,41. Prime factorization of 6970 in exponential form is:
6970 = 21×51×171×411
Prime Factorization of 6977
6977 | 6977 |
1 |
Prime factors of 6977 are 6977. Prime factorization of 6977 in exponential form is:
6977 = 69771
∴ So by taking common prime factors GCF of 6970 and 6977 is 1
Factors of 6970
List of positive integer factors of 6970 that divides 6970 without a remainder.
1,2,5,10,17,34,41,82,85,170,205,410,697,1394,3485,6970
Factors of 6977
List of positive integer factors of 6977 that divides 6977 without a remainder.
1,6977
Greatest Common Factor
We found the factors and prime factorization of 6970 and 6977. The biggest common factor number is the GCF number.
So the greatest common factor 6970 and 6977 is 1.
Also check out the Least Common Multiple of 6970 and 6977
(i) The GCF of 6970 and 6977 is associative
GCF of 6970 and 6977 = GCF of 6977 and 6970
1. What is the GCF of 6970 and 6977?
Answer: GCF of 6970 and 6977 is 1.
2. What are the Factors of 6970?
Answer: Factors of 6970 are 1, 2, 5, 10, 17, 34, 41, 82, 85, 170, 205, 410, 697, 1394, 3485, 6970. There are 16 integers that are factors of 6970. The greatest factor of 6970 is 6970.
3. What are the Factors of 6977?
Answer: Factors of 6977 are 1, 6977. There are 2 integers that are factors of 6977. The greatest factor of 6977 is 6977.
4. How to Find the GCF of 6970 and 6977?
Answer:
Greatest Common Factor of 6970 and 6977 = 1
Step 1: Find the prime factorization of 6970
6970 = 2 x 5 x 17 x 41
Step 2: Find the prime factorization of 6977
6977 = 6977
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 6970 and 6977 is 1