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 1120, 1121 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1120 and 1121 is 1.
GCF(1120,1121) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 1120
2 | 1120 |
2 | 560 |
2 | 280 |
2 | 140 |
2 | 70 |
5 | 35 |
7 | 7 |
1 |
Prime factors of 1120 are 2,5,7. Prime factorization of 1120 in exponential form is:
1120 = 25×51×71
Prime Factorization of 1121
19 | 1121 |
59 | 59 |
1 |
Prime factors of 1121 are 19,59. Prime factorization of 1121 in exponential form is:
1121 = 191×591
∴ So by taking common prime factors GCF of 1120 and 1121 is 1
Factors of 1120
List of positive integer factors of 1120 that divides 1120 without a remainder.
1,2,4,5,7,8,10,14,16,20,28,32,35,40,56,70,80,112,140,160,224,280,560,1120
Factors of 1121
List of positive integer factors of 1121 that divides 1121 without a remainder.
1,19,59,1121
Greatest Common Factor
We found the factors and prime factorization of 1120 and 1121. The biggest common factor number is the GCF number.
So the greatest common factor 1120 and 1121 is 1.
Also check out the Least Common Multiple of 1120 and 1121
(i) The GCF of 1120 and 1121 is associative
GCF of 1120 and 1121 = GCF of 1121 and 1120
1. What is the GCF of 1120 and 1121?
Answer: GCF of 1120 and 1121 is 1.
2. What are the Factors of 1120?
Answer: Factors of 1120 are 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 32, 35, 40, 56, 70, 80, 112, 140, 160, 224, 280, 560, 1120. There are 24 integers that are factors of 1120. The greatest factor of 1120 is 1120.
3. What are the Factors of 1121?
Answer: Factors of 1121 are 1, 19, 59, 1121. There are 4 integers that are factors of 1121. The greatest factor of 1121 is 1121.
4. How to Find the GCF of 1120 and 1121?
Answer:
Greatest Common Factor of 1120 and 1121 = 1
Step 1: Find the prime factorization of 1120
1120 = 2 x 2 x 2 x 2 x 2 x 5 x 7
Step 2: Find the prime factorization of 1121
1121 = 19 x 59
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 1120 and 1121 is 1