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 1060, 1063 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1060 and 1063 is 1.
GCF(1060,1063) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 1060
2 | 1060 |
2 | 530 |
5 | 265 |
53 | 53 |
1 |
Prime factors of 1060 are 2,5,53. Prime factorization of 1060 in exponential form is:
1060 = 22×51×531
Prime Factorization of 1063
1063 | 1063 |
1 |
Prime factors of 1063 are 1063. Prime factorization of 1063 in exponential form is:
1063 = 10631
∴ So by taking common prime factors GCF of 1060 and 1063 is 1
Factors of 1060
List of positive integer factors of 1060 that divides 1060 without a remainder.
1,2,4,5,10,20,53,106,212,265,530,1060
Factors of 1063
List of positive integer factors of 1063 that divides 1063 without a remainder.
1,1063
Greatest Common Factor
We found the factors and prime factorization of 1060 and 1063. The biggest common factor number is the GCF number.
So the greatest common factor 1060 and 1063 is 1.
Also check out the Least Common Multiple of 1060 and 1063
(i) The GCF of 1060 and 1063 is associative
GCF of 1060 and 1063 = GCF of 1063 and 1060
1. What is the GCF of 1060 and 1063?
Answer: GCF of 1060 and 1063 is 1.
2. What are the Factors of 1060?
Answer: Factors of 1060 are 1, 2, 4, 5, 10, 20, 53, 106, 212, 265, 530, 1060. There are 12 integers that are factors of 1060. The greatest factor of 1060 is 1060.
3. What are the Factors of 1063?
Answer: Factors of 1063 are 1, 1063. There are 2 integers that are factors of 1063. The greatest factor of 1063 is 1063.
4. How to Find the GCF of 1060 and 1063?
Answer:
Greatest Common Factor of 1060 and 1063 = 1
Step 1: Find the prime factorization of 1060
1060 = 2 x 2 x 5 x 53
Step 2: Find the prime factorization of 1063
1063 = 1063
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 1060 and 1063 is 1