What is the Greatest Common Factor of 154 and 168?

Greatest common factor (GCF) of 154 and 168 is 14.

GCF(154,168) = 14

We will now calculate the prime factors of 154 and 168, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 154 and 168.

How to find the GCF of 154 and 168?

We will first find the prime factorization of 154 and 168. After we will calculate the factors of 154 and 168 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 168

Prime factors of 168 are 2, 3, 7. Prime factorization of 168 in exponential form is:

168 = 2³ × 3¹ × 7¹

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 168

List of positive integer factors of 168 that divides 154 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 154 and 168. The biggest common factor number is the GCF number.
So the greatest common factor 154 and 168 is 14.

Also check out the Least Common Multiple of 154 and 168