Greatest Common Factor of 153 and 159

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, 159 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 153 and 159 is 3.

GCF(153,159) = 3

GCF of 153 and 159

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

GCF of:
and

Greatest Common Factor of 153 and 159

GCF of 153 and 159 is 3

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 159


3 159
53 53
1

Prime factors of 159 are 3,53. Prime factorization of 159 in exponential form is:

159 = 31×531

∴ So by taking common prime factors GCF of 153 and 159 is 3

Greatest Common Factor of 153 and 159 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 159

List of positive integer factors of 159 that divides 159 without a remainder.

1,3,53,159

Greatest Common Factor

We found the factors and prime factorization of 153 and 159. The biggest common factor number is the GCF number.
So the greatest common factor 153 and 159 is 3.

Also check out the Least Common Multiple of 153 and 159

Properties of GCF 153 and 159

(i) The GCF of 153 and 159 is associative

GCF of 153 and 159 = GCF of 159 and 153

Related Greatest Common Factor of 153

Related Greatest Common Factor of 159

Frequently Asked Questions on GCF of 153 and 159

1. What is the GCF of 153 and 159?

Answer: GCF of 153 and 159 is 3.

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 159?

Answer: Factors of 159 are 1, 3, 53, 159. There are 4 integers that are factors of 159. The greatest factor of 159 is 159.

4. How to Find the GCF of 153 and 159?

Answer:

Greatest Common Factor of 153 and 159 = 3

Step 1: Find the prime factorization of 153

153 = 3 x 3 x 17

Step 2: Find the prime factorization of 159

159 = 3 x 53

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

GCF = 3

Step 4: Therefore, the greatest common factor of 153 and 159 is 3