Greatest Common Factor of 153 and 154

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 153, 154 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 153 and 154 is 1.

GCF(153,154) = 1

GCF of 153 and 154

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

GCF of:
and

Greatest Common Factor of 153 and 154

GCF of 153 and 154 is 1

Prime Factorization of 153


3 153
3 51
17 17
1

Prime factors of 153 are 3,17. Prime factorization of 153 in exponential form is:

153 = 32×171

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

∴ So by taking common prime factors GCF of 153 and 154 is 1

Greatest Common Factor of 153 and 154 by matching factors method

Factors of 153

List of positive integer factors of 153 that divides 153 without a remainder.

1,3,9,17,51,153

Factors of 154

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

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

Greatest Common Factor

We found the factors and prime factorization of 153 and 154. The biggest common factor number is the GCF number.
So the greatest common factor 153 and 154 is 1.

Also check out the Least Common Multiple of 153 and 154

Properties of GCF 153 and 154

(i) The GCF of 153 and 154 is associative

GCF of 153 and 154 = GCF of 154 and 153

Related Greatest Common Factor of 153

Related Greatest Common Factor of 154

Frequently Asked Questions on GCF of 153 and 154

1. What is the GCF of 153 and 154?

Answer: GCF of 153 and 154 is 1.

2. What are the Factors of 153?

Answer: Factors of 153 are 1, 3, 9, 17, 51, 153. There are 6 integers that are factors of 153. The greatest factor of 153 is 153.

3. 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.

4. How to Find the GCF of 153 and 154?

Answer:

Greatest Common Factor of 153 and 154 = 1

Step 1: Find the prime factorization of 153

153 = 3 x 3 x 17

Step 2: Find the prime factorization of 154

154 = 2 x 7 x 11

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 153 and 154 is 1