What is the Greatest Common Factor of 20156 and 20168?

Greatest common factor (GCF) of 20156 and 20168 is 4.

GCF(20156,20168) = 4

We will now calculate the prime factors of 20156 and 20168, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20156 and 20168.

How to find the GCF of 20156 and 20168?

We will first find the prime factorization of 20156 and 20168. After we will calculate the factors of 20156 and 20168 and find the biggest common factor number .

Step-1: Prime Factorization of 20156

Prime factors of 20156 are 2, 5039. Prime factorization of 20156 in exponential form is:

20156 = 2² × 5039¹

Step-2: Prime Factorization of 20168

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

20168 = 2³ × 2521¹

Step-3: Factors of 20156

List of positive integer factors of 20156 that divides 20156 without a remainder.

1, 2, 4, 5039, 10078

Step-4: Factors of 20168

List of positive integer factors of 20168 that divides 20156 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20156 and 20168. The biggest common factor number is the GCF number.
So the greatest common factor 20156 and 20168 is 4.

Also check out the Least Common Multiple of 20156 and 20168