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, 1157 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1154 and 1157 is 1.
GCF(1154,1157) = 1
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 1157
13 | 1157 |
89 | 89 |
1 |
Prime factors of 1157 are 13,89. Prime factorization of 1157 in exponential form is:
1157 = 131×891
∴ So by taking common prime factors GCF of 1154 and 1157 is 1
Factors of 1154
List of positive integer factors of 1154 that divides 1154 without a remainder.
1,2,577,1154
Factors of 1157
List of positive integer factors of 1157 that divides 1157 without a remainder.
1,13,89,1157
Greatest Common Factor
We found the factors and prime factorization of 1154 and 1157. The biggest common factor number is the GCF number.
So the greatest common factor 1154 and 1157 is 1.
Also check out the Least Common Multiple of 1154 and 1157
(i) The GCF of 1154 and 1157 is associative
GCF of 1154 and 1157 = GCF of 1157 and 1154
1. What is the GCF of 1154 and 1157?
Answer: GCF of 1154 and 1157 is 1.
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 1157?
Answer: Factors of 1157 are 1, 13, 89, 1157. There are 4 integers that are factors of 1157. The greatest factor of 1157 is 1157.
4. How to Find the GCF of 1154 and 1157?
Answer:
Greatest Common Factor of 1154 and 1157 = 1
Step 1: Find the prime factorization of 1154
1154 = 2 x 577
Step 2: Find the prime factorization of 1157
1157 = 13 x 89
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 1154 and 1157 is 1