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, 7013 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7012 and 7013 is 1.
GCF(7012,7013) = 1
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 7013
7013 | 7013 |
1 |
Prime factors of 7013 are 7013. Prime factorization of 7013 in exponential form is:
7013 = 70131
∴ So by taking common prime factors GCF of 7012 and 7013 is 1
Factors of 7012
List of positive integer factors of 7012 that divides 7012 without a remainder.
1,2,4,1753,3506,7012
Factors of 7013
List of positive integer factors of 7013 that divides 7013 without a remainder.
1,7013
Greatest Common Factor
We found the factors and prime factorization of 7012 and 7013. The biggest common factor number is the GCF number.
So the greatest common factor 7012 and 7013 is 1.
Also check out the Least Common Multiple of 7012 and 7013
(i) The GCF of 7012 and 7013 is associative
GCF of 7012 and 7013 = GCF of 7013 and 7012
1. What is the GCF of 7012 and 7013?
Answer: GCF of 7012 and 7013 is 1.
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 7013?
Answer: Factors of 7013 are 1, 7013. There are 2 integers that are factors of 7013. The greatest factor of 7013 is 7013.
4. How to Find the GCF of 7012 and 7013?
Answer:
Greatest Common Factor of 7012 and 7013 = 1
Step 1: Find the prime factorization of 7012
7012 = 2 x 2 x 1753
Step 2: Find the prime factorization of 7013
7013 = 7013
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 7012 and 7013 is 1