Greatest Common Factor of 7154 and 7158

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 7154, 7158 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7154 and 7158 is 2.

GCF(7154,7158) = 2

GCF of 7154 and 7158

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

GCF of:
and

Greatest Common Factor of 7154 and 7158

GCF of 7154 and 7158 is 2

Prime Factorization of 7154


2 7154
7 3577
7 511
73 73
1

Prime factors of 7154 are 2,7,73. Prime factorization of 7154 in exponential form is:

7154 = 21×72×731

Prime Factorization of 7158


2 7158
3 3579
1193 1193
1

Prime factors of 7158 are 2,3,1193. Prime factorization of 7158 in exponential form is:

7158 = 21×31×11931

∴ So by taking common prime factors GCF of 7154 and 7158 is 2

Greatest Common Factor of 7154 and 7158 by matching factors method

Factors of 7154

List of positive integer factors of 7154 that divides 7154 without a remainder.

1,2,7,14,49,73,98,146,511,1022,3577,7154

Factors of 7158

List of positive integer factors of 7158 that divides 7158 without a remainder.

1,2,3,6,1193,2386,3579,7158

Greatest Common Factor

We found the factors and prime factorization of 7154 and 7158. The biggest common factor number is the GCF number.
So the greatest common factor 7154 and 7158 is 2.

Also check out the Least Common Multiple of 7154 and 7158

Properties of GCF 7154 and 7158

(i) The GCF of 7154 and 7158 is associative

GCF of 7154 and 7158 = GCF of 7158 and 7154

Related Greatest Common Factor of 7154

Related Greatest Common Factor of 7158

Frequently Asked Questions on GCF of 7154 and 7158

1. What is the GCF of 7154 and 7158?

Answer: GCF of 7154 and 7158 is 2.

2. What are the Factors of 7154?

Answer: Factors of 7154 are 1, 2, 7, 14, 49, 73, 98, 146, 511, 1022, 3577, 7154. There are 12 integers that are factors of 7154. The greatest factor of 7154 is 7154.

3. What are the Factors of 7158?

Answer: Factors of 7158 are 1, 2, 3, 6, 1193, 2386, 3579, 7158. There are 8 integers that are factors of 7158. The greatest factor of 7158 is 7158.

4. How to Find the GCF of 7154 and 7158?

Answer:

Greatest Common Factor of 7154 and 7158 = 2

Step 1: Find the prime factorization of 7154

7154 = 2 x 7 x 7 x 73

Step 2: Find the prime factorization of 7158

7158 = 2 x 3 x 1193

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 7154 and 7158 is 2