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 7006, 7008 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7006 and 7008 is 2.
GCF(7006,7008) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 7006
2 | 7006 |
31 | 3503 |
113 | 113 |
1 |
Prime factors of 7006 are 2,31,113. Prime factorization of 7006 in exponential form is:
7006 = 21×311×1131
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
∴ So by taking common prime factors GCF of 7006 and 7008 is 2
Factors of 7006
List of positive integer factors of 7006 that divides 7006 without a remainder.
1,2,31,62,113,226,3503,7006
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
Greatest Common Factor
We found the factors and prime factorization of 7006 and 7008. The biggest common factor number is the GCF number.
So the greatest common factor 7006 and 7008 is 2.
Also check out the Least Common Multiple of 7006 and 7008
(i) The GCF of 7006 and 7008 is associative
GCF of 7006 and 7008 = GCF of 7008 and 7006
1. What is the GCF of 7006 and 7008?
Answer: GCF of 7006 and 7008 is 2.
2. What are the Factors of 7006?
Answer: Factors of 7006 are 1, 2, 31, 62, 113, 226, 3503, 7006. There are 8 integers that are factors of 7006. The greatest factor of 7006 is 7006.
3. 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.
4. How to Find the GCF of 7006 and 7008?
Answer:
Greatest Common Factor of 7006 and 7008 = 2
Step 1: Find the prime factorization of 7006
7006 = 2 x 31 x 113
Step 2: Find the prime factorization of 7008
7008 = 2 x 2 x 2 x 2 x 2 x 3 x 73
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 7006 and 7008 is 2