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 1080, 1085 i.e. 5 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1080 and 1085 is 5.
GCF(1080,1085) = 5
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 1080
2 | 1080 |
2 | 540 |
2 | 270 |
3 | 135 |
3 | 45 |
3 | 15 |
5 | 5 |
1 |
Prime factors of 1080 are 2,3,5. Prime factorization of 1080 in exponential form is:
1080 = 23×33×51
Prime Factorization of 1085
5 | 1085 |
7 | 217 |
31 | 31 |
1 |
Prime factors of 1085 are 5,7,31. Prime factorization of 1085 in exponential form is:
1085 = 51×71×311
∴ So by taking common prime factors GCF of 1080 and 1085 is 5
Factors of 1080
List of positive integer factors of 1080 that divides 1080 without a remainder.
1,2,3,4,5,6,8,9,10,12,15,18,20,24,27,30,36,40,45,54,60,72,90,108,120,135,180,216,270,360,540,1080
Factors of 1085
List of positive integer factors of 1085 that divides 1085 without a remainder.
1,5,7,31,35,155,217,1085
Greatest Common Factor
We found the factors and prime factorization of 1080 and 1085. The biggest common factor number is the GCF number.
So the greatest common factor 1080 and 1085 is 5.
Also check out the Least Common Multiple of 1080 and 1085
(i) The GCF of 1080 and 1085 is associative
GCF of 1080 and 1085 = GCF of 1085 and 1080
1. What is the GCF of 1080 and 1085?
Answer: GCF of 1080 and 1085 is 5.
2. What are the Factors of 1080?
Answer: Factors of 1080 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 27, 30, 36, 40, 45, 54, 60, 72, 90, 108, 120, 135, 180, 216, 270, 360, 540, 1080. There are 32 integers that are factors of 1080. The greatest factor of 1080 is 1080.
3. What are the Factors of 1085?
Answer: Factors of 1085 are 1, 5, 7, 31, 35, 155, 217, 1085. There are 8 integers that are factors of 1085. The greatest factor of 1085 is 1085.
4. How to Find the GCF of 1080 and 1085?
Answer:
Greatest Common Factor of 1080 and 1085 = 5
Step 1: Find the prime factorization of 1080
1080 = 2 x 2 x 2 x 3 x 3 x 3 x 5
Step 2: Find the prime factorization of 1085
1085 = 5 x 7 x 31
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 5
Step 4: Therefore, the greatest common factor of 1080 and 1085 is 5