Greatest Common Factor of 9158 and 9159

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 9158, 9159 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9158 and 9159 is 1.

GCF(9158,9159) = 1

GCF of 9158 and 9159

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

GCF of:
and

Greatest Common Factor of 9158 and 9159

GCF of 9158 and 9159 is 1

Prime Factorization of 9158


2 9158
19 4579
241 241
1

Prime factors of 9158 are 2,19,241. Prime factorization of 9158 in exponential form is:

9158 = 21×191×2411

Prime Factorization of 9159


3 9159
43 3053
71 71
1

Prime factors of 9159 are 3,43,71. Prime factorization of 9159 in exponential form is:

9159 = 31×431×711

∴ So by taking common prime factors GCF of 9158 and 9159 is 1

Greatest Common Factor of 9158 and 9159 by matching factors method

Factors of 9158

List of positive integer factors of 9158 that divides 9158 without a remainder.

1,2,19,38,241,482,4579,9158

Factors of 9159

List of positive integer factors of 9159 that divides 9159 without a remainder.

1,3,43,71,129,213,3053,9159

Greatest Common Factor

We found the factors and prime factorization of 9158 and 9159. The biggest common factor number is the GCF number.
So the greatest common factor 9158 and 9159 is 1.

Also check out the Least Common Multiple of 9158 and 9159

Properties of GCF 9158 and 9159

(i) The GCF of 9158 and 9159 is associative

GCF of 9158 and 9159 = GCF of 9159 and 9158

Related Greatest Common Factor of 9158

Related Greatest Common Factor of 9159

Frequently Asked Questions on GCF of 9158 and 9159

1. What is the GCF of 9158 and 9159?

Answer: GCF of 9158 and 9159 is 1.

2. What are the Factors of 9158?

Answer: Factors of 9158 are 1, 2, 19, 38, 241, 482, 4579, 9158. There are 8 integers that are factors of 9158. The greatest factor of 9158 is 9158.

3. What are the Factors of 9159?

Answer: Factors of 9159 are 1, 3, 43, 71, 129, 213, 3053, 9159. There are 8 integers that are factors of 9159. The greatest factor of 9159 is 9159.

4. How to Find the GCF of 9158 and 9159?

Answer:

Greatest Common Factor of 9158 and 9159 = 1

Step 1: Find the prime factorization of 9158

9158 = 2 x 19 x 241

Step 2: Find the prime factorization of 9159

9159 = 3 x 43 x 71

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 9158 and 9159 is 1