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 7998, 8002 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7998 and 8002 is 2.
GCF(7998,8002) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 7998
2 | 7998 |
3 | 3999 |
31 | 1333 |
43 | 43 |
1 |
Prime factors of 7998 are 2,3,31,43. Prime factorization of 7998 in exponential form is:
7998 = 21×31×311×431
Prime Factorization of 8002
2 | 8002 |
4001 | 4001 |
1 |
Prime factors of 8002 are 2,4001. Prime factorization of 8002 in exponential form is:
8002 = 21×40011
∴ So by taking common prime factors GCF of 7998 and 8002 is 2
Factors of 7998
List of positive integer factors of 7998 that divides 7998 without a remainder.
1,2,3,6,31,43,62,86,93,129,186,258,1333,2666,3999,7998
Factors of 8002
List of positive integer factors of 8002 that divides 8002 without a remainder.
1,2,4001,8002
Greatest Common Factor
We found the factors and prime factorization of 7998 and 8002. The biggest common factor number is the GCF number.
So the greatest common factor 7998 and 8002 is 2.
Also check out the Least Common Multiple of 7998 and 8002
(i) The GCF of 7998 and 8002 is associative
GCF of 7998 and 8002 = GCF of 8002 and 7998
1. What is the GCF of 7998 and 8002?
Answer: GCF of 7998 and 8002 is 2.
2. What are the Factors of 7998?
Answer: Factors of 7998 are 1, 2, 3, 6, 31, 43, 62, 86, 93, 129, 186, 258, 1333, 2666, 3999, 7998. There are 16 integers that are factors of 7998. The greatest factor of 7998 is 7998.
3. What are the Factors of 8002?
Answer: Factors of 8002 are 1, 2, 4001, 8002. There are 4 integers that are factors of 8002. The greatest factor of 8002 is 8002.
4. How to Find the GCF of 7998 and 8002?
Answer:
Greatest Common Factor of 7998 and 8002 = 2
Step 1: Find the prime factorization of 7998
7998 = 2 x 3 x 31 x 43
Step 2: Find the prime factorization of 8002
8002 = 2 x 4001
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2
Step 4: Therefore, the greatest common factor of 7998 and 8002 is 2