Greatest Common Factor of 154 and 161

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, 161 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 154 and 161 is 7.

GCF(154,161) = 7

GCF of 154 and 161

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

GCF of:
and

Greatest Common Factor of 154 and 161

GCF of 154 and 161 is 7

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 161


7 161
23 23
1

Prime factors of 161 are 7,23. Prime factorization of 161 in exponential form is:

161 = 71×231

∴ So by taking common prime factors GCF of 154 and 161 is 7

Greatest Common Factor of 154 and 161 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 161

List of positive integer factors of 161 that divides 161 without a remainder.

1,7,23,161

Greatest Common Factor

We found the factors and prime factorization of 154 and 161. The biggest common factor number is the GCF number.
So the greatest common factor 154 and 161 is 7.

Also check out the Least Common Multiple of 154 and 161

Properties of GCF 154 and 161

(i) The GCF of 154 and 161 is associative

GCF of 154 and 161 = GCF of 161 and 154

Related Greatest Common Factor of 154

Related Greatest Common Factor of 161

Frequently Asked Questions on GCF of 154 and 161

1. What is the GCF of 154 and 161?

Answer: GCF of 154 and 161 is 7.

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 161?

Answer: Factors of 161 are 1, 7, 23, 161. There are 4 integers that are factors of 161. The greatest factor of 161 is 161.

4. How to Find the GCF of 154 and 161?

Answer:

Greatest Common Factor of 154 and 161 = 7

Step 1: Find the prime factorization of 154

154 = 2 x 7 x 11

Step 2: Find the prime factorization of 161

161 = 7 x 23

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 7

Step 4: Therefore, the greatest common factor of 154 and 161 is 7