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 1126, 1127 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1126 and 1127 is 1.
GCF(1126,1127) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 1126
2 | 1126 |
563 | 563 |
1 |
Prime factors of 1126 are 2,563. Prime factorization of 1126 in exponential form is:
1126 = 21×5631
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 1126 and 1127 is 1
Factors of 1126
List of positive integer factors of 1126 that divides 1126 without a remainder.
1,2,563,1126
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 1126 and 1127. The biggest common factor number is the GCF number.
So the greatest common factor 1126 and 1127 is 1.
Also check out the Least Common Multiple of 1126 and 1127
(i) The GCF of 1126 and 1127 is associative
GCF of 1126 and 1127 = GCF of 1127 and 1126
1. What is the GCF of 1126 and 1127?
Answer: GCF of 1126 and 1127 is 1.
2. What are the Factors of 1126?
Answer: Factors of 1126 are 1, 2, 563, 1126. There are 4 integers that are factors of 1126. The greatest factor of 1126 is 1126.
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 1126 and 1127?
Answer:
Greatest Common Factor of 1126 and 1127 = 1
Step 1: Find the prime factorization of 1126
1126 = 2 x 563
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 1126 and 1127 is 1