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 7999, 8001 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7999 and 8001 is 1.
GCF(7999,8001) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 7999
19 | 7999 |
421 | 421 |
1 |
Prime factors of 7999 are 19,421. Prime factorization of 7999 in exponential form is:
7999 = 191×4211
Prime Factorization of 8001
3 | 8001 |
3 | 2667 |
7 | 889 |
127 | 127 |
1 |
Prime factors of 8001 are 3,7,127. Prime factorization of 8001 in exponential form is:
8001 = 32×71×1271
∴ So by taking common prime factors GCF of 7999 and 8001 is 1
Factors of 7999
List of positive integer factors of 7999 that divides 7999 without a remainder.
1,19,421,7999
Factors of 8001
List of positive integer factors of 8001 that divides 8001 without a remainder.
1,3,7,9,21,63,127,381,889,1143,2667,8001
Greatest Common Factor
We found the factors and prime factorization of 7999 and 8001. The biggest common factor number is the GCF number.
So the greatest common factor 7999 and 8001 is 1.
Also check out the Least Common Multiple of 7999 and 8001
(i) The GCF of 7999 and 8001 is associative
GCF of 7999 and 8001 = GCF of 8001 and 7999
1. What is the GCF of 7999 and 8001?
Answer: GCF of 7999 and 8001 is 1.
2. What are the Factors of 7999?
Answer: Factors of 7999 are 1, 19, 421, 7999. There are 4 integers that are factors of 7999. The greatest factor of 7999 is 7999.
3. What are the Factors of 8001?
Answer: Factors of 8001 are 1, 3, 7, 9, 21, 63, 127, 381, 889, 1143, 2667, 8001. There are 12 integers that are factors of 8001. The greatest factor of 8001 is 8001.
4. How to Find the GCF of 7999 and 8001?
Answer:
Greatest Common Factor of 7999 and 8001 = 1
Step 1: Find the prime factorization of 7999
7999 = 19 x 421
Step 2: Find the prime factorization of 8001
8001 = 3 x 3 x 7 x 127
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 7999 and 8001 is 1