What is the Greatest Common Factor of 141 and 159?

Greatest common factor (GCF) of 141 and 159 is 3.

GCF(141,159) = 3

We will now calculate the prime factors of 141 and 159, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 141 and 159.

How to find the GCF of 141 and 159?

We will first find the prime factorization of 141 and 159. After we will calculate the factors of 141 and 159 and find the biggest common factor number .

Step-1: Prime Factorization of 141

Prime factors of 141 are 3, 47. Prime factorization of 141 in exponential form is:

141 = 3¹ × 47¹

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 141

List of positive integer factors of 141 that divides 141 without a remainder.

1, 3, 47

Step-4: Factors of 159

List of positive integer factors of 159 that divides 141 without a remainder.

1, 3, 53

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 141 and 159. The biggest common factor number is the GCF number.
So the greatest common factor 141 and 159 is 3.

Also check out the Least Common Multiple of 141 and 159