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 7967, 7970 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7967 and 7970 is 1.
GCF(7967,7970) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 7967
31 | 7967 |
257 | 257 |
1 |
Prime factors of 7967 are 31,257. Prime factorization of 7967 in exponential form is:
7967 = 311×2571
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
∴ So by taking common prime factors GCF of 7967 and 7970 is 1
Factors of 7967
List of positive integer factors of 7967 that divides 7967 without a remainder.
1,31,257,7967
Factors of 7970
List of positive integer factors of 7970 that divides 7970 without a remainder.
1,2,5,10,797,1594,3985,7970
Greatest Common Factor
We found the factors and prime factorization of 7967 and 7970. The biggest common factor number is the GCF number.
So the greatest common factor 7967 and 7970 is 1.
Also check out the Least Common Multiple of 7967 and 7970
(i) The GCF of 7967 and 7970 is associative
GCF of 7967 and 7970 = GCF of 7970 and 7967
1. What is the GCF of 7967 and 7970?
Answer: GCF of 7967 and 7970 is 1.
2. What are the Factors of 7967?
Answer: Factors of 7967 are 1, 31, 257, 7967. There are 4 integers that are factors of 7967. The greatest factor of 7967 is 7967.
3. 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.
4. How to Find the GCF of 7967 and 7970?
Answer:
Greatest Common Factor of 7967 and 7970 = 1
Step 1: Find the prime factorization of 7967
7967 = 31 x 257
Step 2: Find the prime factorization of 7970
7970 = 2 x 5 x 797
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 7967 and 7970 is 1