What is the Greatest Common Factor of 153 and 159?

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

GCF(153,159) = 3

We will now calculate the prime factors of 153 and 159, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 153 and 159.

How to find the GCF of 153 and 159?

We will first find the prime factorization of 153 and 159. After we will calculate the factors of 153 and 159 and find the biggest common factor number .

Step-1: Prime Factorization of 153

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

153 = 3² × 17¹

Step-2: Prime Factorization of 159

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

159 = 3¹ × 53¹

Step-3: Factors of 153

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

1, 3, 9, 17, 51

Step-4: Factors of 159

List of positive integer factors of 159 that divides 153 without a remainder.

1, 3, 53

Final Step: Biggest Common Factor Number

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