What is the Greatest Common Factor of 144 and 161?

Greatest common factor (GCF) of 144 and 161 is 1.

GCF(144,161) = 1

We will now calculate the prime factors of 144 and 161, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 144 and 161.

How to find the GCF of 144 and 161?

We will first find the prime factorization of 144 and 161. After we will calculate the factors of 144 and 161 and find the biggest common factor number .

Step-1: Prime Factorization of 144

Prime factors of 144 are 2, 3. Prime factorization of 144 in exponential form is:

144 = 2⁴ × 3²

Step-2: Prime Factorization of 161

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

161 = 7¹ × 23¹

Step-3: Factors of 144

List of positive integer factors of 144 that divides 144 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72

Step-4: Factors of 161

List of positive integer factors of 161 that divides 144 without a remainder.

1, 7, 23

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 144 and 161. The biggest common factor number is the GCF number.
So the greatest common factor 144 and 161 is 1.

Also check out the Least Common Multiple of 144 and 161