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 1149, 1154 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1149 and 1154 is 1.
GCF(1149,1154) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 1149
3 | 1149 |
383 | 383 |
1 |
Prime factors of 1149 are 3,383. Prime factorization of 1149 in exponential form is:
1149 = 31×3831
Prime Factorization of 1154
2 | 1154 |
577 | 577 |
1 |
Prime factors of 1154 are 2,577. Prime factorization of 1154 in exponential form is:
1154 = 21×5771
∴ So by taking common prime factors GCF of 1149 and 1154 is 1
Factors of 1149
List of positive integer factors of 1149 that divides 1149 without a remainder.
1,3,383,1149
Factors of 1154
List of positive integer factors of 1154 that divides 1154 without a remainder.
1,2,577,1154
Greatest Common Factor
We found the factors and prime factorization of 1149 and 1154. The biggest common factor number is the GCF number.
So the greatest common factor 1149 and 1154 is 1.
Also check out the Least Common Multiple of 1149 and 1154
(i) The GCF of 1149 and 1154 is associative
GCF of 1149 and 1154 = GCF of 1154 and 1149
1. What is the GCF of 1149 and 1154?
Answer: GCF of 1149 and 1154 is 1.
2. What are the Factors of 1149?
Answer: Factors of 1149 are 1, 3, 383, 1149. There are 4 integers that are factors of 1149. The greatest factor of 1149 is 1149.
3. What are the Factors of 1154?
Answer: Factors of 1154 are 1, 2, 577, 1154. There are 4 integers that are factors of 1154. The greatest factor of 1154 is 1154.
4. How to Find the GCF of 1149 and 1154?
Answer:
Greatest Common Factor of 1149 and 1154 = 1
Step 1: Find the prime factorization of 1149
1149 = 3 x 383
Step 2: Find the prime factorization of 1154
1154 = 2 x 577
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 1149 and 1154 is 1