Greatest Common Factor of 154 and 160

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 154, 160 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 154 and 160 is 2.

GCF(154,160) = 2

GCF of 154 and 160

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

GCF of:
and

Greatest Common Factor of 154 and 160

GCF of 154 and 160 is 2

Prime Factorization of 154


2 154
7 77
11 11
1

Prime factors of 154 are 2,7,11. Prime factorization of 154 in exponential form is:

154 = 21×71×111

Prime Factorization of 160


2 160
2 80
2 40
2 20
2 10
5 5
1

Prime factors of 160 are 2,5. Prime factorization of 160 in exponential form is:

160 = 25×51

∴ So by taking common prime factors GCF of 154 and 160 is 2

Greatest Common Factor of 154 and 160 by matching factors method

Factors of 154

List of positive integer factors of 154 that divides 154 without a remainder.

1,2,7,11,14,22,77,154

Factors of 160

List of positive integer factors of 160 that divides 160 without a remainder.

1,2,4,5,8,10,16,20,32,40,80,160

Greatest Common Factor

We found the factors and prime factorization of 154 and 160. The biggest common factor number is the GCF number.
So the greatest common factor 154 and 160 is 2.

Also check out the Least Common Multiple of 154 and 160

Properties of GCF 154 and 160

(i) The GCF of 154 and 160 is associative

GCF of 154 and 160 = GCF of 160 and 154

Related Greatest Common Factor of 154

Related Greatest Common Factor of 160

Frequently Asked Questions on GCF of 154 and 160

1. What is the GCF of 154 and 160?

Answer: GCF of 154 and 160 is 2.

2. What are the Factors of 154?

Answer: Factors of 154 are 1, 2, 7, 11, 14, 22, 77, 154. There are 8 integers that are factors of 154. The greatest factor of 154 is 154.

3. What are the Factors of 160?

Answer: Factors of 160 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160. There are 12 integers that are factors of 160. The greatest factor of 160 is 160.

4. How to Find the GCF of 154 and 160?

Answer:

Greatest Common Factor of 154 and 160 = 2

Step 1: Find the prime factorization of 154

154 = 2 x 7 x 11

Step 2: Find the prime factorization of 160

160 = 2 x 2 x 2 x 2 x 2 x 5

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 154 and 160 is 2