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, 7984 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7981 and 7984 is 1.
GCF(7981,7984) = 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 7984
2 | 7984 |
2 | 3992 |
2 | 1996 |
2 | 998 |
499 | 499 |
1 |
Prime factors of 7984 are 2,499. Prime factorization of 7984 in exponential form is:
7984 = 24×4991
∴ So by taking common prime factors GCF of 7981 and 7984 is 1
Factors of 7981
List of positive integer factors of 7981 that divides 7981 without a remainder.
1,23,347,7981
Factors of 7984
List of positive integer factors of 7984 that divides 7984 without a remainder.
1,2,4,8,16,499,998,1996,3992,7984
Greatest Common Factor
We found the factors and prime factorization of 7981 and 7984. The biggest common factor number is the GCF number.
So the greatest common factor 7981 and 7984 is 1.
Also check out the Least Common Multiple of 7981 and 7984
(i) The GCF of 7981 and 7984 is associative
GCF of 7981 and 7984 = GCF of 7984 and 7981
1. What is the GCF of 7981 and 7984?
Answer: GCF of 7981 and 7984 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 7984?
Answer: Factors of 7984 are 1, 2, 4, 8, 16, 499, 998, 1996, 3992, 7984. There are 10 integers that are factors of 7984. The greatest factor of 7984 is 7984.
4. How to Find the GCF of 7981 and 7984?
Answer:
Greatest Common Factor of 7981 and 7984 = 1
Step 1: Find the prime factorization of 7981
7981 = 23 x 347
Step 2: Find the prime factorization of 7984
7984 = 2 x 2 x 2 x 2 x 499
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 7984 is 1