What is the Greatest Common Factor of 168 and 176?

Greatest common factor (GCF) of 168 and 176 is 8.

GCF(168,176) = 8

We will now calculate the prime factors of 168 and 176, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 168 and 176.

How to find the GCF of 168 and 176?

We will first find the prime factorization of 168 and 176. After we will calculate the factors of 168 and 176 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 176

Prime factors of 176 are 2, 11. Prime factorization of 176 in exponential form is:

176 = 2⁴ × 11¹

Step-3: Factors of 168

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

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

Step-4: Factors of 176

List of positive integer factors of 176 that divides 168 without a remainder.

1, 2, 4, 8, 11, 16, 22, 44, 88

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 168 and 176. The biggest common factor number is the GCF number.
So the greatest common factor 168 and 176 is 8.

Also check out the Least Common Multiple of 168 and 176