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 7008, 7015 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7008 and 7015 is 1.
GCF(7008,7015) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 7008
2 | 7008 |
2 | 3504 |
2 | 1752 |
2 | 876 |
2 | 438 |
3 | 219 |
73 | 73 |
1 |
Prime factors of 7008 are 2,3,73. Prime factorization of 7008 in exponential form is:
7008 = 25×31×731
Prime Factorization of 7015
5 | 7015 |
23 | 1403 |
61 | 61 |
1 |
Prime factors of 7015 are 5,23,61. Prime factorization of 7015 in exponential form is:
7015 = 51×231×611
∴ So by taking common prime factors GCF of 7008 and 7015 is 1
Factors of 7008
List of positive integer factors of 7008 that divides 7008 without a remainder.
1,2,3,4,6,8,12,16,24,32,48,73,96,146,219,292,438,584,876,1168,1752,2336,3504,7008
Factors of 7015
List of positive integer factors of 7015 that divides 7015 without a remainder.
1,5,23,61,115,305,1403,7015
Greatest Common Factor
We found the factors and prime factorization of 7008 and 7015. The biggest common factor number is the GCF number.
So the greatest common factor 7008 and 7015 is 1.
Also check out the Least Common Multiple of 7008 and 7015
(i) The GCF of 7008 and 7015 is associative
GCF of 7008 and 7015 = GCF of 7015 and 7008
1. What is the GCF of 7008 and 7015?
Answer: GCF of 7008 and 7015 is 1.
2. What are the Factors of 7008?
Answer: Factors of 7008 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 73, 96, 146, 219, 292, 438, 584, 876, 1168, 1752, 2336, 3504, 7008. There are 24 integers that are factors of 7008. The greatest factor of 7008 is 7008.
3. What are the Factors of 7015?
Answer: Factors of 7015 are 1, 5, 23, 61, 115, 305, 1403, 7015. There are 8 integers that are factors of 7015. The greatest factor of 7015 is 7015.
4. How to Find the GCF of 7008 and 7015?
Answer:
Greatest Common Factor of 7008 and 7015 = 1
Step 1: Find the prime factorization of 7008
7008 = 2 x 2 x 2 x 2 x 2 x 3 x 73
Step 2: Find the prime factorization of 7015
7015 = 5 x 23 x 61
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 7008 and 7015 is 1