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 1017, 1020 i.e. 3 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1017 and 1020 is 3.
GCF(1017,1020) = 3
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 1017
3 | 1017 |
3 | 339 |
113 | 113 |
1 |
Prime factors of 1017 are 3,113. Prime factorization of 1017 in exponential form is:
1017 = 32×1131
Prime Factorization of 1020
2 | 1020 |
2 | 510 |
3 | 255 |
5 | 85 |
17 | 17 |
1 |
Prime factors of 1020 are 2,3,5,17. Prime factorization of 1020 in exponential form is:
1020 = 22×31×51×171
∴ So by taking common prime factors GCF of 1017 and 1020 is 3
Factors of 1017
List of positive integer factors of 1017 that divides 1017 without a remainder.
1,3,9,113,339,1017
Factors of 1020
List of positive integer factors of 1020 that divides 1020 without a remainder.
1,2,3,4,5,6,10,12,15,17,20,30,34,51,60,68,85,102,170,204,255,340,510,1020
Greatest Common Factor
We found the factors and prime factorization of 1017 and 1020. The biggest common factor number is the GCF number.
So the greatest common factor 1017 and 1020 is 3.
Also check out the Least Common Multiple of 1017 and 1020
(i) The GCF of 1017 and 1020 is associative
GCF of 1017 and 1020 = GCF of 1020 and 1017
1. What is the GCF of 1017 and 1020?
Answer: GCF of 1017 and 1020 is 3.
2. What are the Factors of 1017?
Answer: Factors of 1017 are 1, 3, 9, 113, 339, 1017. There are 6 integers that are factors of 1017. The greatest factor of 1017 is 1017.
3. What are the Factors of 1020?
Answer: Factors of 1020 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 17, 20, 30, 34, 51, 60, 68, 85, 102, 170, 204, 255, 340, 510, 1020. There are 24 integers that are factors of 1020. The greatest factor of 1020 is 1020.
4. How to Find the GCF of 1017 and 1020?
Answer:
Greatest Common Factor of 1017 and 1020 = 3
Step 1: Find the prime factorization of 1017
1017 = 3 x 3 x 113
Step 2: Find the prime factorization of 1020
1020 = 2 x 2 x 3 x 5 x 17
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 3
Step 4: Therefore, the greatest common factor of 1017 and 1020 is 3