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 7981, 7985 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7981 and 7985 is 1.
GCF(7981,7985) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 7981
23 | 7981 |
347 | 347 |
1 |
Prime factors of 7981 are 23,347. Prime factorization of 7981 in exponential form is:
7981 = 231×3471
Prime Factorization of 7985
5 | 7985 |
1597 | 1597 |
1 |
Prime factors of 7985 are 5,1597. Prime factorization of 7985 in exponential form is:
7985 = 51×15971
∴ So by taking common prime factors GCF of 7981 and 7985 is 1
Factors of 7981
List of positive integer factors of 7981 that divides 7981 without a remainder.
1,23,347,7981
Factors of 7985
List of positive integer factors of 7985 that divides 7985 without a remainder.
1,5,1597,7985
Greatest Common Factor
We found the factors and prime factorization of 7981 and 7985. The biggest common factor number is the GCF number.
So the greatest common factor 7981 and 7985 is 1.
Also check out the Least Common Multiple of 7981 and 7985
(i) The GCF of 7981 and 7985 is associative
GCF of 7981 and 7985 = GCF of 7985 and 7981
1. What is the GCF of 7981 and 7985?
Answer: GCF of 7981 and 7985 is 1.
2. What are the Factors of 7981?
Answer: Factors of 7981 are 1, 23, 347, 7981. There are 4 integers that are factors of 7981. The greatest factor of 7981 is 7981.
3. What are the Factors of 7985?
Answer: Factors of 7985 are 1, 5, 1597, 7985. There are 4 integers that are factors of 7985. The greatest factor of 7985 is 7985.
4. How to Find the GCF of 7981 and 7985?
Answer:
Greatest Common Factor of 7981 and 7985 = 1
Step 1: Find the prime factorization of 7981
7981 = 23 x 347
Step 2: Find the prime factorization of 7985
7985 = 5 x 1597
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 7981 and 7985 is 1