Greatest Common Factor of 7154 and 7160

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, 7160 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7154 and 7160 is 2.

GCF(7154,7160) = 2

GCF of 7154 and 7160

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

GCF of:
and

Greatest Common Factor of 7154 and 7160

GCF of 7154 and 7160 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 7160


2 7160
2 3580
2 1790
5 895
179 179
1

Prime factors of 7160 are 2,5,179. Prime factorization of 7160 in exponential form is:

7160 = 23×51×1791

∴ So by taking common prime factors GCF of 7154 and 7160 is 2

Greatest Common Factor of 7154 and 7160 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 7160

List of positive integer factors of 7160 that divides 7160 without a remainder.

1,2,4,5,8,10,20,40,179,358,716,895,1432,1790,3580,7160

Greatest Common Factor

We found the factors and prime factorization of 7154 and 7160. The biggest common factor number is the GCF number.
So the greatest common factor 7154 and 7160 is 2.

Also check out the Least Common Multiple of 7154 and 7160

Properties of GCF 7154 and 7160

(i) The GCF of 7154 and 7160 is associative

GCF of 7154 and 7160 = GCF of 7160 and 7154

Related Greatest Common Factor of 7154

Related Greatest Common Factor of 7160

Frequently Asked Questions on GCF of 7154 and 7160

1. What is the GCF of 7154 and 7160?

Answer: GCF of 7154 and 7160 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 7160?

Answer: Factors of 7160 are 1, 2, 4, 5, 8, 10, 20, 40, 179, 358, 716, 895, 1432, 1790, 3580, 7160. There are 16 integers that are factors of 7160. The greatest factor of 7160 is 7160.

4. How to Find the GCF of 7154 and 7160?

Answer:

Greatest Common Factor of 7154 and 7160 = 2

Step 1: Find the prime factorization of 7154

7154 = 2 x 7 x 7 x 73

Step 2: Find the prime factorization of 7160

7160 = 2 x 2 x 2 x 5 x 179

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 7160 is 2