What is the Greatest Common Factor of 154 and 164?

Greatest common factor (GCF) of 154 and 164 is 2.

GCF(154,164) = 2

We will now calculate the prime factors of 154 and 164, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 154 and 164.

How to find the GCF of 154 and 164?

We will first find the prime factorization of 154 and 164. After we will calculate the factors of 154 and 164 and find the biggest common factor number .

Step-1: Prime Factorization of 154

Prime factors of 154 are 2, 7, 11. Prime factorization of 154 in exponential form is:

154 = 2¹ × 7¹ × 11¹

Step-2: Prime Factorization of 164

Prime factors of 164 are 2, 41. Prime factorization of 164 in exponential form is:

164 = 2² × 41¹

Step-3: Factors of 154

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

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

Step-4: Factors of 164

List of positive integer factors of 164 that divides 154 without a remainder.

1, 2, 4, 41, 82

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 154 and 164. The biggest common factor number is the GCF number.
So the greatest common factor 154 and 164 is 2.

Also check out the Least Common Multiple of 154 and 164