What is the Greatest Common Factor of 20154 and 20168?

Greatest common factor (GCF) of 20154 and 20168 is 2.

GCF(20154,20168) = 2

We will now calculate the prime factors of 20154 and 20168, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20154 and 20168.

How to find the GCF of 20154 and 20168?

We will first find the prime factorization of 20154 and 20168. After we will calculate the factors of 20154 and 20168 and find the biggest common factor number .

Step-1: Prime Factorization of 20154

Prime factors of 20154 are 2, 3, 3359. Prime factorization of 20154 in exponential form is:

20154 = 2¹ × 3¹ × 3359¹

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 20154

List of positive integer factors of 20154 that divides 20154 without a remainder.

1, 2, 3, 6, 3359, 6718, 10077

Step-4: Factors of 20168

List of positive integer factors of 20168 that divides 20154 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20154 and 20168. The biggest common factor number is the GCF number.
So the greatest common factor 20154 and 20168 is 2.

Also check out the Least Common Multiple of 20154 and 20168