Greatest Common Factor of 1154 and 1158

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

GCF of 1154 and 1158

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 1154 and 1158

GCF of 1154 and 1158 is 2

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

Greatest Common Factor of 1154 and 1158 by matching factors method

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

Properties of GCF 1154 and 1158

(i) The GCF of 1154 and 1158 is associative

GCF of 1154 and 1158 = GCF of 1158 and 1154

Related Greatest Common Factor of 1154

Related Greatest Common Factor of 1158

Frequently Asked Questions on GCF of 1154 and 1158

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