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, 7012 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7006 and 7012 is 2.
GCF(7006,7012) = 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 7012
2 | 7012 |
2 | 3506 |
1753 | 1753 |
1 |
Prime factors of 7012 are 2,1753. Prime factorization of 7012 in exponential form is:
7012 = 22×17531
∴ So by taking common prime factors GCF of 7006 and 7012 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 7012
List of positive integer factors of 7012 that divides 7012 without a remainder.
1,2,4,1753,3506,7012
Greatest Common Factor
We found the factors and prime factorization of 7006 and 7012. The biggest common factor number is the GCF number.
So the greatest common factor 7006 and 7012 is 2.
Also check out the Least Common Multiple of 7006 and 7012
(i) The GCF of 7006 and 7012 is associative
GCF of 7006 and 7012 = GCF of 7012 and 7006
1. What is the GCF of 7006 and 7012?
Answer: GCF of 7006 and 7012 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 7012?
Answer: Factors of 7012 are 1, 2, 4, 1753, 3506, 7012. There are 6 integers that are factors of 7012. The greatest factor of 7012 is 7012.
4. How to Find the GCF of 7006 and 7012?
Answer:
Greatest Common Factor of 7006 and 7012 = 2
Step 1: Find the prime factorization of 7006
7006 = 2 x 31 x 113
Step 2: Find the prime factorization of 7012
7012 = 2 x 2 x 1753
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 7012 is 2