What is the Greatest Common Factor of 20138 and 20156?

Greatest common factor (GCF) of 20138 and 20156 is 2.

GCF(20138,20156) = 2

We will now calculate the prime factors of 20138 and 20156, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20138 and 20156.

How to find the GCF of 20138 and 20156?

We will first find the prime factorization of 20138 and 20156. After we will calculate the factors of 20138 and 20156 and find the biggest common factor number .

Step-1: Prime Factorization of 20138

Prime factors of 20138 are 2, 10069. Prime factorization of 20138 in exponential form is:

20138 = 2¹ × 10069¹

Step-2: Prime Factorization of 20156

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

20156 = 2² × 5039¹

Step-3: Factors of 20138

List of positive integer factors of 20138 that divides 20138 without a remainder.

1, 2, 10069

Step-4: Factors of 20156

List of positive integer factors of 20156 that divides 20138 without a remainder.

1, 2, 4, 5039, 10078

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20138 and 20156. The biggest common factor number is the GCF number.
So the greatest common factor 20138 and 20156 is 2.

Also check out the Least Common Multiple of 20138 and 20156