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 1012, 1014 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1012 and 1014 is 2.
GCF(1012,1014) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 1012
2 | 1012 |
2 | 506 |
11 | 253 |
23 | 23 |
1 |
Prime factors of 1012 are 2,11,23. Prime factorization of 1012 in exponential form is:
1012 = 22×111×231
Prime Factorization of 1014
2 | 1014 |
3 | 507 |
13 | 169 |
13 | 13 |
1 |
Prime factors of 1014 are 2,3,13. Prime factorization of 1014 in exponential form is:
1014 = 21×31×132
∴ So by taking common prime factors GCF of 1012 and 1014 is 2
Factors of 1012
List of positive integer factors of 1012 that divides 1012 without a remainder.
1,2,4,11,22,23,44,46,92,253,506,1012
Factors of 1014
List of positive integer factors of 1014 that divides 1014 without a remainder.
1,2,3,6,13,26,39,78,169,338,507,1014
Greatest Common Factor
We found the factors and prime factorization of 1012 and 1014. The biggest common factor number is the GCF number.
So the greatest common factor 1012 and 1014 is 2.
Also check out the Least Common Multiple of 1012 and 1014
(i) The GCF of 1012 and 1014 is associative
GCF of 1012 and 1014 = GCF of 1014 and 1012
1. What is the GCF of 1012 and 1014?
Answer: GCF of 1012 and 1014 is 2.
2. What are the Factors of 1012?
Answer: Factors of 1012 are 1, 2, 4, 11, 22, 23, 44, 46, 92, 253, 506, 1012. There are 12 integers that are factors of 1012. The greatest factor of 1012 is 1012.
3. What are the Factors of 1014?
Answer: Factors of 1014 are 1, 2, 3, 6, 13, 26, 39, 78, 169, 338, 507, 1014. There are 12 integers that are factors of 1014. The greatest factor of 1014 is 1014.
4. How to Find the GCF of 1012 and 1014?
Answer:
Greatest Common Factor of 1012 and 1014 = 2
Step 1: Find the prime factorization of 1012
1012 = 2 x 2 x 11 x 23
Step 2: Find the prime factorization of 1014
1014 = 2 x 3 x 13 x 13
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 1012 and 1014 is 2