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 1154, 1158 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1154 and 1158 is 2.
GCF(1154,1158) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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
Prime Factorization of 1158
2 | 1158 |
3 | 579 |
193 | 193 |
1 |
Prime factors of 1158 are 2,3,193. Prime factorization of 1158 in exponential form is:
1158 = 21×31×1931
∴ So by taking common prime factors GCF of 1154 and 1158 is 2
Factors of 1154
List of positive integer factors of 1154 that divides 1154 without a remainder.
1,2,577,1154
Factors of 1158
List of positive integer factors of 1158 that divides 1158 without a remainder.
1,2,3,6,193,386,579,1158
Greatest Common Factor
We found the factors and prime factorization of 1154 and 1158. The biggest common factor number is the GCF number.
So the greatest common factor 1154 and 1158 is 2.
Also check out the Least Common Multiple of 1154 and 1158
(i) The GCF of 1154 and 1158 is associative
GCF of 1154 and 1158 = GCF of 1158 and 1154
1. What is the GCF of 1154 and 1158?
Answer: GCF of 1154 and 1158 is 2.
2. 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.
3. What are the Factors of 1158?
Answer: Factors of 1158 are 1, 2, 3, 6, 193, 386, 579, 1158. There are 8 integers that are factors of 1158. The greatest factor of 1158 is 1158.
4. How to Find the GCF of 1154 and 1158?
Answer:
Greatest Common Factor of 1154 and 1158 = 2
Step 1: Find the prime factorization of 1154
1154 = 2 x 577
Step 2: Find the prime factorization of 1158
1158 = 2 x 3 x 193
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2
Step 4: Therefore, the greatest common factor of 1154 and 1158 is 2