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 7012, 7018 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7012 and 7018 is 2.
GCF(7012,7018) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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
Prime Factorization of 7018
2 | 7018 |
11 | 3509 |
11 | 319 |
29 | 29 |
1 |
Prime factors of 7018 are 2,11,29. Prime factorization of 7018 in exponential form is:
7018 = 21×112×291
∴ So by taking common prime factors GCF of 7012 and 7018 is 2
Factors of 7012
List of positive integer factors of 7012 that divides 7012 without a remainder.
1,2,4,1753,3506,7012
Factors of 7018
List of positive integer factors of 7018 that divides 7018 without a remainder.
1,2,11,22,29,58,121,242,319,638,3509,7018
Greatest Common Factor
We found the factors and prime factorization of 7012 and 7018. The biggest common factor number is the GCF number.
So the greatest common factor 7012 and 7018 is 2.
Also check out the Least Common Multiple of 7012 and 7018
(i) The GCF of 7012 and 7018 is associative
GCF of 7012 and 7018 = GCF of 7018 and 7012
1. What is the GCF of 7012 and 7018?
Answer: GCF of 7012 and 7018 is 2.
2. 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.
3. What are the Factors of 7018?
Answer: Factors of 7018 are 1, 2, 11, 22, 29, 58, 121, 242, 319, 638, 3509, 7018. There are 12 integers that are factors of 7018. The greatest factor of 7018 is 7018.
4. How to Find the GCF of 7012 and 7018?
Answer:
Greatest Common Factor of 7012 and 7018 = 2
Step 1: Find the prime factorization of 7012
7012 = 2 x 2 x 1753
Step 2: Find the prime factorization of 7018
7018 = 2 x 11 x 11 x 29
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 7012 and 7018 is 2