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 1121, 1127 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1121 and 1127 is 1.
GCF(1121,1127) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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
Prime Factorization of 1127
7 | 1127 |
7 | 161 |
23 | 23 |
1 |
Prime factors of 1127 are 7,23. Prime factorization of 1127 in exponential form is:
1127 = 72×231
∴ So by taking common prime factors GCF of 1121 and 1127 is 1
Factors of 1121
List of positive integer factors of 1121 that divides 1121 without a remainder.
1,19,59,1121
Factors of 1127
List of positive integer factors of 1127 that divides 1127 without a remainder.
1,7,23,49,161,1127
Greatest Common Factor
We found the factors and prime factorization of 1121 and 1127. The biggest common factor number is the GCF number.
So the greatest common factor 1121 and 1127 is 1.
Also check out the Least Common Multiple of 1121 and 1127
(i) The GCF of 1121 and 1127 is associative
GCF of 1121 and 1127 = GCF of 1127 and 1121
1. What is the GCF of 1121 and 1127?
Answer: GCF of 1121 and 1127 is 1.
2. 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.
3. What are the Factors of 1127?
Answer: Factors of 1127 are 1, 7, 23, 49, 161, 1127. There are 6 integers that are factors of 1127. The greatest factor of 1127 is 1127.
4. How to Find the GCF of 1121 and 1127?
Answer:
Greatest Common Factor of 1121 and 1127 = 1
Step 1: Find the prime factorization of 1121
1121 = 19 x 59
Step 2: Find the prime factorization of 1127
1127 = 7 x 7 x 23
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 1121 and 1127 is 1