What is the Greatest Common Factor of 20168 and 20176?

Greatest common factor (GCF) of 20168 and 20176 is 8.

GCF(20168,20176) = 8

We will now calculate the prime factors of 20168 and 20176, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20168 and 20176.

How to find the GCF of 20168 and 20176?

We will first find the prime factorization of 20168 and 20176. After we will calculate the factors of 20168 and 20176 and find the biggest common factor number .

Step-1: Prime Factorization of 20168

Prime factors of 20168 are 2, 2521. Prime factorization of 20168 in exponential form is:

20168 = 2³ × 2521¹

Step-2: Prime Factorization of 20176

Prime factors of 20176 are 2, 13, 97. Prime factorization of 20176 in exponential form is:

20176 = 2⁴ × 13¹ × 97¹

Step-3: Factors of 20168

List of positive integer factors of 20168 that divides 20168 without a remainder.

1, 2, 4, 8, 2521, 5042, 10084

Step-4: Factors of 20176

List of positive integer factors of 20176 that divides 20168 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 97, 104, 194, 208, 388, 776, 1261, 1552, 2522, 5044, 10088

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20168 and 20176. The biggest common factor number is the GCF number.
So the greatest common factor 20168 and 20176 is 8.

Also check out the Least Common Multiple of 20168 and 20176